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Finding the Fourth Proportional to 65,116.92, 97,755.13 and 42,948.84

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Solution

The fourth proportional to 65,116.92, 97,755.13 and 42,948.84 is: 64,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116.92 : 97,755.13 = 42,948.84 : x
  2. Step 2: Convert to fraction form
    65,116.92/97,755.13 = 42,948.84/x
  3. Step 3: Cross multiply
    65,116.92x = 97,755.13 × 42,948.84
  4. Step 4: Simplify right side
    65,116.92x = 4,198,469,437.55
  5. Step 5: Solve for x
    x = 4,198,469,437.55/65,116.92
  6. Step 6: Final answer
    x = 64,475.86

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1.5x scale

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.