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Finding the Fourth Proportional to 49,371.68, 74,042.16 and 16,532

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Solution

The fourth proportional to 49,371.68, 74,042.16 and 16,532 is: 24,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,371.68 : 74,042.16 = 16,532 : x
  2. Step 2: Convert to fraction form
    49,371.68/74,042.16 = 16,532/x
  3. Step 3: Cross multiply
    49,371.68x = 74,042.16 × 16,532
  4. Step 4: Simplify right side
    49,371.68x = 1,224,064,989.12
  5. Step 5: Solve for x
    x = 1,224,064,989.12/49,371.68
  6. Step 6: Final answer
    x = 24,792.86

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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.