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Finding the Fourth Proportional to 59,422.38, 82,005.14 and 33,932.90

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Solution

The fourth proportional to 59,422.38, 82,005.14 and 33,932.90 is: 46,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,422.38 : 82,005.14 = 33,932.90 : x
  2. Step 2: Convert to fraction form
    59,422.38/82,005.14 = 33,932.90/x
  3. Step 3: Cross multiply
    59,422.38x = 82,005.14 × 33,932.90
  4. Step 4: Simplify right side
    59,422.38x = 2,782,672,215.11
  5. Step 5: Solve for x
    x = 2,782,672,215.11/59,422.38
  6. Step 6: Final answer
    x = 46,828.69

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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.