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Finding the Fourth Proportional to 62,471.60, 86,211.60 and 34,177.76

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Solution

The fourth proportional to 62,471.60, 86,211.60 and 34,177.76 is: 47,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,471.60 : 86,211.60 = 34,177.76 : x
  2. Step 2: Convert to fraction form
    62,471.60/86,211.60 = 34,177.76/x
  3. Step 3: Cross multiply
    62,471.60x = 86,211.60 × 34,177.76
  4. Step 4: Simplify right side
    62,471.60x = 2,946,519,374.02
  5. Step 5: Solve for x
    x = 2,946,519,374.02/62,471.60
  6. Step 6: Final answer
    x = 47,165.74

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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.