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Finding the Fourth Proportional to 71,494.26, 98,662.20 and 39,663.16

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Solution

The fourth proportional to 71,494.26, 98,662.20 and 39,663.16 is: 54,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,494.26 : 98,662.20 = 39,663.16 : x
  2. Step 2: Convert to fraction form
    71,494.26/98,662.20 = 39,663.16/x
  3. Step 3: Cross multiply
    71,494.26x = 98,662.20 × 39,663.16
  4. Step 4: Simplify right side
    71,494.26x = 3,913,254,624.55
  5. Step 5: Solve for x
    x = 3,913,254,624.55/71,494.26
  6. Step 6: Final answer
    x = 54,735.23

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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.