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Finding the Fourth Proportional to 59,658.71, 89,382.74 and 31,516.61

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Solution

The fourth proportional to 59,658.71, 89,382.74 and 31,516.61 is: 47,219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,658.71 : 89,382.74 = 31,516.61 : x
  2. Step 2: Convert to fraction form
    59,658.71/89,382.74 = 31,516.61/x
  3. Step 3: Cross multiply
    59,658.71x = 89,382.74 × 31,516.61
  4. Step 4: Simplify right side
    59,658.71x = 2,817,040,352.81
  5. Step 5: Solve for x
    x = 2,817,040,352.81/59,658.71
  6. Step 6: Final answer
    x = 47,219.27

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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.