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Finding the Fourth Proportional to 87,462.91, 120,677.40 and 49,215

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Solution

The fourth proportional to 87,462.91, 120,677.40 and 49,215 is: 67,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,462.91 : 120,677.40 = 49,215 : x
  2. Step 2: Convert to fraction form
    87,462.91/120,677.40 = 49,215/x
  3. Step 3: Cross multiply
    87,462.91x = 120,677.40 × 49,215
  4. Step 4: Simplify right side
    87,462.91x = 5,939,138,241
  5. Step 5: Solve for x
    x = 5,939,138,241/87,462.91
  6. Step 6: Final answer
    x = 67,904.65

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