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Finding the Fourth Proportional to 59,530.56, 82,158.72 and 38,040

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Solution

The fourth proportional to 59,530.56, 82,158.72 and 38,040 is: 52,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,530.56 : 82,158.72 = 38,040 : x
  2. Step 2: Convert to fraction form
    59,530.56/82,158.72 = 38,040/x
  3. Step 3: Cross multiply
    59,530.56x = 82,158.72 × 38,040
  4. Step 4: Simplify right side
    59,530.56x = 3,125,317,708.80
  5. Step 5: Solve for x
    x = 3,125,317,708.80/59,530.56
  6. Step 6: Final answer
    x = 52,499.38

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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.