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Finding the Fourth Proportional to 76,613.92, 105,728.02 and 42,159.11

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Solution

The fourth proportional to 76,613.92, 105,728.02 and 42,159.11 is: 58,180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,613.92 : 105,728.02 = 42,159.11 : x
  2. Step 2: Convert to fraction form
    76,613.92/105,728.02 = 42,159.11/x
  3. Step 3: Cross multiply
    76,613.92x = 105,728.02 × 42,159.11
  4. Step 4: Simplify right side
    76,613.92x = 4,457,398,591.22
  5. Step 5: Solve for x
    x = 4,457,398,591.22/76,613.92
  6. Step 6: Final answer
    x = 58,180.01

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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.