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Finding the Fourth Proportional to 55,686.30, 83,600.76 and 47,839.02

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Solution

The fourth proportional to 55,686.30, 83,600.76 and 47,839.02 is: 71,819.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,686.30 : 83,600.76 = 47,839.02 : x
  2. Step 2: Convert to fraction form
    55,686.30/83,600.76 = 47,839.02/x
  3. Step 3: Cross multiply
    55,686.30x = 83,600.76 × 47,839.02
  4. Step 4: Simplify right side
    55,686.30x = 3,999,378,429.66
  5. Step 5: Solve for x
    x = 3,999,378,429.66/55,686.30
  6. Step 6: Final answer
    x = 71,819.79

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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.