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Finding the Fourth Proportional to 76,147.26, 114,220.89 and 23,557.20

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Solution

The fourth proportional to 76,147.26, 114,220.89 and 23,557.20 is: 35,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,147.26 : 114,220.89 = 23,557.20 : x
  2. Step 2: Convert to fraction form
    76,147.26/114,220.89 = 23,557.20/x
  3. Step 3: Cross multiply
    76,147.26x = 114,220.89 × 23,557.20
  4. Step 4: Simplify right side
    76,147.26x = 2,690,724,349.91
  5. Step 5: Solve for x
    x = 2,690,724,349.91/76,147.26
  6. Step 6: Final answer
    x = 35,335.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.