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Finding the Fourth Proportional to 32,856,100.80, 49,189,672.80 and 31,911,316.80

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Solution

The fourth proportional to 32,856,100.80, 49,189,672.80 and 31,911,316.80 is: 47,775,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856,100.80 : 49,189,672.80 = 31,911,316.80 : x
  2. Step 2: Convert to fraction form
    32,856,100.80/49,189,672.80 = 31,911,316.80/x
  3. Step 3: Cross multiply
    32,856,100.80x = 49,189,672.80 × 31,911,316.80
  4. Step 4: Simplify right side
    32,856,100.80x = 1,569,707,232,009,143
  5. Step 5: Solve for x
    x = 1,569,707,232,009,143/32,856,100.80
  6. Step 6: Final answer
    x = 47,775,213.55

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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.