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Finding the Fourth Proportional to 59,686.88, 82,367.84 and 34,201.52

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Solution

The fourth proportional to 59,686.88, 82,367.84 and 34,201.52 is: 47,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,686.88 : 82,367.84 = 34,201.52 : x
  2. Step 2: Convert to fraction form
    59,686.88/82,367.84 = 34,201.52/x
  3. Step 3: Cross multiply
    59,686.88x = 82,367.84 × 34,201.52
  4. Step 4: Simplify right side
    59,686.88x = 2,817,105,327.12
  5. Step 5: Solve for x
    x = 2,817,105,327.12/59,686.88
  6. Step 6: Final answer
    x = 47,198.07

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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.