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Finding the Fourth Proportional to 59,689.91, 82,371.94 and 34,196.38

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Solution

The fourth proportional to 59,689.91, 82,371.94 and 34,196.38 is: 47,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,689.91 : 82,371.94 = 34,196.38 : x
  2. Step 2: Convert to fraction form
    59,689.91/82,371.94 = 34,196.38/x
  3. Step 3: Cross multiply
    59,689.91x = 82,371.94 × 34,196.38
  4. Step 4: Simplify right side
    59,689.91x = 2,816,821,870.16
  5. Step 5: Solve for x
    x = 2,816,821,870.16/59,689.91
  6. Step 6: Final answer
    x = 47,190.92

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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.