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Finding the Fourth Proportional to 87,482, 131,242.44 and 32,078

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Solution

The fourth proportional to 87,482, 131,242.44 and 32,078 is: 48,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,482 : 131,242.44 = 32,078 : x
  2. Step 2: Convert to fraction form
    87,482/131,242.44 = 32,078/x
  3. Step 3: Cross multiply
    87,482x = 131,242.44 × 32,078
  4. Step 4: Simplify right side
    87,482x = 4,209,994,990.32
  5. Step 5: Solve for x
    x = 4,209,994,990.32/87,482
  6. Step 6: Final answer
    x = 48,124.13

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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.