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Finding the Fourth Proportional to 53,196.38, 73,411.50 and 29,323.91

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Solution

The fourth proportional to 53,196.38, 73,411.50 and 29,323.91 is: 40,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,196.38 : 73,411.50 = 29,323.91 : x
  2. Step 2: Convert to fraction form
    53,196.38/73,411.50 = 29,323.91/x
  3. Step 3: Cross multiply
    53,196.38x = 73,411.50 × 29,323.91
  4. Step 4: Simplify right side
    53,196.38x = 2,152,711,851.91
  5. Step 5: Solve for x
    x = 2,152,711,851.91/53,196.38
  6. Step 6: Final answer
    x = 40,467.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.