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Finding the Fourth Proportional to 59,913.46, 82,713.72 and 36,046

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Solution

The fourth proportional to 59,913.46, 82,713.72 and 36,046 is: 49,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,913.46 : 82,713.72 = 36,046 : x
  2. Step 2: Convert to fraction form
    59,913.46/82,713.72 = 36,046/x
  3. Step 3: Cross multiply
    59,913.46x = 82,713.72 × 36,046
  4. Step 4: Simplify right side
    59,913.46x = 2,981,498,751.12
  5. Step 5: Solve for x
    x = 2,981,498,751.12/59,913.46
  6. Step 6: Final answer
    x = 49,763.42

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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.