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Finding the Fourth Proportional to 32,837,478.40, 49,256,217.60 and 20,744,243.20

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Solution

The fourth proportional to 32,837,478.40, 49,256,217.60 and 20,744,243.20 is: 31,116,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,837,478.40 : 49,256,217.60 = 20,744,243.20 : x
  2. Step 2: Convert to fraction form
    32,837,478.40/49,256,217.60 = 20,744,243.20/x
  3. Step 3: Cross multiply
    32,837,478.40x = 49,256,217.60 × 20,744,243.20
  4. Step 4: Simplify right side
    32,837,478.40x = 1,021,782,957,006,520.38
  5. Step 5: Solve for x
    x = 1,021,782,957,006,520.38/32,837,478.40
  6. Step 6: Final answer
    x = 31,116,364.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.