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Finding the Fourth Proportional to 87,410, 131,115.36 and 32,006

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Solution

The fourth proportional to 87,410, 131,115.36 and 32,006 is: 48,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,410 : 131,115.36 = 32,006 : x
  2. Step 2: Convert to fraction form
    87,410/131,115.36 = 32,006/x
  3. Step 3: Cross multiply
    87,410x = 131,115.36 × 32,006
  4. Step 4: Simplify right side
    87,410x = 4,196,478,212.16
  5. Step 5: Solve for x
    x = 4,196,478,212.16/87,410
  6. Step 6: Final answer
    x = 48,009.13

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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.