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Finding the Fourth Proportional to 71,000.71, 97,981.31 and 39,169.60

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Solution

The fourth proportional to 71,000.71, 97,981.31 and 39,169.60 is: 54,054.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,000.71 : 97,981.31 = 39,169.60 : x
  2. Step 2: Convert to fraction form
    71,000.71/97,981.31 = 39,169.60/x
  3. Step 3: Cross multiply
    71,000.71x = 97,981.31 × 39,169.60
  4. Step 4: Simplify right side
    71,000.71x = 3,837,888,720.18
  5. Step 5: Solve for x
    x = 3,837,888,720.18/71,000.71
  6. Step 6: Final answer
    x = 54,054.23

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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.