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Finding the Fourth Proportional to 71,111.20, 106,569.60 and 47,351.20

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Solution

The fourth proportional to 71,111.20, 106,569.60 and 47,351.20 is: 70,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,111.20 : 106,569.60 = 47,351.20 : x
  2. Step 2: Convert to fraction form
    71,111.20/106,569.60 = 47,351.20/x
  3. Step 3: Cross multiply
    71,111.20x = 106,569.60 × 47,351.20
  4. Step 4: Simplify right side
    71,111.20x = 5,046,198,443.52
  5. Step 5: Solve for x
    x = 5,046,198,443.52/71,111.20
  6. Step 6: Final answer
    x = 70,962.08

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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.