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Finding the Fourth Proportional to 65,654.88, 90,572.76 and 47,742

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Solution

The fourth proportional to 65,654.88, 90,572.76 and 47,742 is: 65,861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,654.88 : 90,572.76 = 47,742 : x
  2. Step 2: Convert to fraction form
    65,654.88/90,572.76 = 47,742/x
  3. Step 3: Cross multiply
    65,654.88x = 90,572.76 × 47,742
  4. Step 4: Simplify right side
    65,654.88x = 4,324,124,707.92
  5. Step 5: Solve for x
    x = 4,324,124,707.92/65,654.88
  6. Step 6: Final answer
    x = 65,861.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.