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Finding the Fourth Proportional to 59,781.38, 82,495.15 and 34,286.44

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Solution

The fourth proportional to 59,781.38, 82,495.15 and 34,286.44 is: 47,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,781.38 : 82,495.15 = 34,286.44 : x
  2. Step 2: Convert to fraction form
    59,781.38/82,495.15 = 34,286.44/x
  3. Step 3: Cross multiply
    59,781.38x = 82,495.15 × 34,286.44
  4. Step 4: Simplify right side
    59,781.38x = 2,828,464,718.81
  5. Step 5: Solve for x
    x = 2,828,464,718.81/59,781.38
  6. Step 6: Final answer
    x = 47,313.47

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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.