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Finding the Fourth Proportional to 59,540.56, 89,318.76 and 31,461.76

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Solution

The fourth proportional to 59,540.56, 89,318.76 and 31,461.76 is: 47,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,540.56 : 89,318.76 = 31,461.76 : x
  2. Step 2: Convert to fraction form
    59,540.56/89,318.76 = 31,461.76/x
  3. Step 3: Cross multiply
    59,540.56x = 89,318.76 × 31,461.76
  4. Step 4: Simplify right side
    59,540.56x = 2,810,125,167.32
  5. Step 5: Solve for x
    x = 2,810,125,167.32/59,540.56
  6. Step 6: Final answer
    x = 47,196.82

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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.