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Finding the Fourth Proportional to 71,356.71, 106,984.41 and 35,792.45

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Solution

The fourth proportional to 71,356.71, 106,984.41 and 35,792.45 is: 53,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,356.71 : 106,984.41 = 35,792.45 : x
  2. Step 2: Convert to fraction form
    71,356.71/106,984.41 = 35,792.45/x
  3. Step 3: Cross multiply
    71,356.71x = 106,984.41 × 35,792.45
  4. Step 4: Simplify right side
    71,356.71x = 3,829,233,877.75
  5. Step 5: Solve for x
    x = 3,829,233,877.75/71,356.71
  6. Step 6: Final answer
    x = 53,663.26

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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.