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Finding the Fourth Proportional to 59,552.20, 89,294.28 and 24,463

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Solution

The fourth proportional to 59,552.20, 89,294.28 and 24,463 is: 36,680.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,552.20 : 89,294.28 = 24,463 : x
  2. Step 2: Convert to fraction form
    59,552.20/89,294.28 = 24,463/x
  3. Step 3: Cross multiply
    59,552.20x = 89,294.28 × 24,463
  4. Step 4: Simplify right side
    59,552.20x = 2,184,405,971.64
  5. Step 5: Solve for x
    x = 2,184,405,971.64/59,552.20
  6. Step 6: Final answer
    x = 36,680.53

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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.