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Finding the Fourth Proportional to 87,576, 120,854.88 and 47,832

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Solution

The fourth proportional to 87,576, 120,854.88 and 47,832 is: 66,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,576 : 120,854.88 = 47,832 : x
  2. Step 2: Convert to fraction form
    87,576/120,854.88 = 47,832/x
  3. Step 3: Cross multiply
    87,576x = 120,854.88 × 47,832
  4. Step 4: Simplify right side
    87,576x = 5,780,730,620.16
  5. Step 5: Solve for x
    x = 5,780,730,620.16/87,576
  6. Step 6: Final answer
    x = 66,008.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.