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Finding the Fourth Proportional to 59,438.41, 82,024.85 and 35,565.08

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Solution

The fourth proportional to 59,438.41, 82,024.85 and 35,565.08 is: 49,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,438.41 : 82,024.85 = 35,565.08 : x
  2. Step 2: Convert to fraction form
    59,438.41/82,024.85 = 35,565.08/x
  3. Step 3: Cross multiply
    59,438.41x = 82,024.85 × 35,565.08
  4. Step 4: Simplify right side
    59,438.41x = 2,917,220,031.03
  5. Step 5: Solve for x
    x = 2,917,220,031.03/59,438.41
  6. Step 6: Final answer
    x = 49,079.71

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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.