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Finding the Fourth Proportional to 87,296.24, 131,001.78 and 47,881

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Solution

The fourth proportional to 87,296.24, 131,001.78 and 47,881 is: 71,852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,296.24 : 131,001.78 = 47,881 : x
  2. Step 2: Convert to fraction form
    87,296.24/131,001.78 = 47,881/x
  3. Step 3: Cross multiply
    87,296.24x = 131,001.78 × 47,881
  4. Step 4: Simplify right side
    87,296.24x = 6,272,496,228.18
  5. Step 5: Solve for x
    x = 6,272,496,228.18/87,296.24
  6. Step 6: Final answer
    x = 71,852.99

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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.