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Finding the Fourth Proportional to 59,315.25, 89,186.25 and 54,691.77

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Solution

The fourth proportional to 59,315.25, 89,186.25 and 54,691.77 is: 82,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,315.25 : 89,186.25 = 54,691.77 : x
  2. Step 2: Convert to fraction form
    59,315.25/89,186.25 = 54,691.77/x
  3. Step 3: Cross multiply
    59,315.25x = 89,186.25 × 54,691.77
  4. Step 4: Simplify right side
    59,315.25x = 4,877,753,872.16
  5. Step 5: Solve for x
    x = 4,877,753,872.16/59,315.25
  6. Step 6: Final answer
    x = 82,234.40

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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.