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Finding the Fourth Proportional to 58,582.34, 80,843.69 and 31,724.88

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Solution

The fourth proportional to 58,582.34, 80,843.69 and 31,724.88 is: 43,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,582.34 : 80,843.69 = 31,724.88 : x
  2. Step 2: Convert to fraction form
    58,582.34/80,843.69 = 31,724.88/x
  3. Step 3: Cross multiply
    58,582.34x = 80,843.69 × 31,724.88
  4. Step 4: Simplify right side
    58,582.34x = 2,564,756,205.38
  5. Step 5: Solve for x
    x = 2,564,756,205.38/58,582.34
  6. Step 6: Final answer
    x = 43,780.37

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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.