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Finding the Fourth Proportional to 59,687.36, 82,358.88 and 34,532

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Solution

The fourth proportional to 59,687.36, 82,358.88 and 34,532 is: 47,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,687.36 : 82,358.88 = 34,532 : x
  2. Step 2: Convert to fraction form
    59,687.36/82,358.88 = 34,532/x
  3. Step 3: Cross multiply
    59,687.36x = 82,358.88 × 34,532
  4. Step 4: Simplify right side
    59,687.36x = 2,844,016,844.16
  5. Step 5: Solve for x
    x = 2,844,016,844.16/59,687.36
  6. Step 6: Final answer
    x = 47,648.56

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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.