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Finding the Fourth Proportional to 42,842.76, 59,148.92 and 27,964.68

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Solution

The fourth proportional to 42,842.76, 59,148.92 and 27,964.68 is: 38,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,842.76 : 59,148.92 = 27,964.68 : x
  2. Step 2: Convert to fraction form
    42,842.76/59,148.92 = 27,964.68/x
  3. Step 3: Cross multiply
    42,842.76x = 59,148.92 × 27,964.68
  4. Step 4: Simplify right side
    42,842.76x = 1,654,080,620.15
  5. Step 5: Solve for x
    x = 1,654,080,620.15/42,842.76
  6. Step 6: Final answer
    x = 38,608.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.