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Finding the Fourth Proportional to 87,160.32, 130,740.48 and 24,831

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Solution

The fourth proportional to 87,160.32, 130,740.48 and 24,831 is: 37,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,160.32 : 130,740.48 = 24,831 : x
  2. Step 2: Convert to fraction form
    87,160.32/130,740.48 = 24,831/x
  3. Step 3: Cross multiply
    87,160.32x = 130,740.48 × 24,831
  4. Step 4: Simplify right side
    87,160.32x = 3,246,416,858.88
  5. Step 5: Solve for x
    x = 3,246,416,858.88/87,160.32
  6. Step 6: Final answer
    x = 37,246.50

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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.