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Finding the Fourth Proportional to 59,390, 89,013.84 and 41,523.14

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Solution

The fourth proportional to 59,390, 89,013.84 and 41,523.14 is: 62,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,390 : 89,013.84 = 41,523.14 : x
  2. Step 2: Convert to fraction form
    59,390/89,013.84 = 41,523.14/x
  3. Step 3: Cross multiply
    59,390x = 89,013.84 × 41,523.14
  4. Step 4: Simplify right side
    59,390x = 3,696,134,140.26
  5. Step 5: Solve for x
    x = 3,696,134,140.26/59,390
  6. Step 6: Final answer
    x = 62,234.96

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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.