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Finding the Fourth Proportional to 59,497.50, 82,107.63 and 32,641.38

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Solution

The fourth proportional to 59,497.50, 82,107.63 and 32,641.38 is: 45,045.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,497.50 : 82,107.63 = 32,641.38 : x
  2. Step 2: Convert to fraction form
    59,497.50/82,107.63 = 32,641.38/x
  3. Step 3: Cross multiply
    59,497.50x = 82,107.63 × 32,641.38
  4. Step 4: Simplify right side
    59,497.50x = 2,680,106,351.73
  5. Step 5: Solve for x
    x = 2,680,106,351.73/59,497.50
  6. Step 6: Final answer
    x = 45,045.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.