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Finding the Fourth Proportional to 87,398.31, 131,097.54 and 37,446

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Solution

The fourth proportional to 87,398.31, 131,097.54 and 37,446 is: 56,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,398.31 : 131,097.54 = 37,446 : x
  2. Step 2: Convert to fraction form
    87,398.31/131,097.54 = 37,446/x
  3. Step 3: Cross multiply
    87,398.31x = 131,097.54 × 37,446
  4. Step 4: Simplify right side
    87,398.31x = 4,909,078,482.84
  5. Step 5: Solve for x
    x = 4,909,078,482.84/87,398.31
  6. Step 6: Final answer
    x = 56,169.03

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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.