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Finding the Fourth Proportional to 87,294.24, 130,998.78 and 47,879

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Solution

The fourth proportional to 87,294.24, 130,998.78 and 47,879 is: 71,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,294.24 : 130,998.78 = 47,879 : x
  2. Step 2: Convert to fraction form
    87,294.24/130,998.78 = 47,879/x
  3. Step 3: Cross multiply
    87,294.24x = 130,998.78 × 47,879
  4. Step 4: Simplify right side
    87,294.24x = 6,272,090,587.62
  5. Step 5: Solve for x
    x = 6,272,090,587.62/87,294.24
  6. Step 6: Final answer
    x = 71,849.99

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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.