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Finding the Fourth Proportional to 87,593.16, 131,384.88 and 77,844

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Solution

The fourth proportional to 87,593.16, 131,384.88 and 77,844 is: 116,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,593.16 : 131,384.88 = 77,844 : x
  2. Step 2: Convert to fraction form
    87,593.16/131,384.88 = 77,844/x
  3. Step 3: Cross multiply
    87,593.16x = 131,384.88 × 77,844
  4. Step 4: Simplify right side
    87,593.16x = 10,227,524,598.72
  5. Step 5: Solve for x
    x = 10,227,524,598.72/87,593.16
  6. Step 6: Final answer
    x = 116,761.68

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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.