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Finding the Fourth Proportional to 58,842.20, 81,202.72 and 31,984.70

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Solution

The fourth proportional to 58,842.20, 81,202.72 and 31,984.70 is: 44,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,842.20 : 81,202.72 = 31,984.70 : x
  2. Step 2: Convert to fraction form
    58,842.20/81,202.72 = 31,984.70/x
  3. Step 3: Cross multiply
    58,842.20x = 81,202.72 × 31,984.70
  4. Step 4: Simplify right side
    58,842.20x = 2,597,244,638.38
  5. Step 5: Solve for x
    x = 2,597,244,638.38/58,842.20
  6. Step 6: Final answer
    x = 44,139.15

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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.