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Finding the Fourth Proportional to 71,052.54, 98,052.16 and 39,221.16

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Solution

The fourth proportional to 71,052.54, 98,052.16 and 39,221.16 is: 54,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,052.54 : 98,052.16 = 39,221.16 : x
  2. Step 2: Convert to fraction form
    71,052.54/98,052.16 = 39,221.16/x
  3. Step 3: Cross multiply
    71,052.54x = 98,052.16 × 39,221.16
  4. Step 4: Simplify right side
    71,052.54x = 3,845,719,455.71
  5. Step 5: Solve for x
    x = 3,845,719,455.71/71,052.54
  6. Step 6: Final answer
    x = 54,125.01

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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.