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Finding the Fourth Proportional to 31,609.85, 43,602.30 and 20,275.52

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Solution

The fourth proportional to 31,609.85, 43,602.30 and 20,275.52 is: 27,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.85 : 43,602.30 = 20,275.52 : x
  2. Step 2: Convert to fraction form
    31,609.85/43,602.30 = 20,275.52/x
  3. Step 3: Cross multiply
    31,609.85x = 43,602.30 × 20,275.52
  4. Step 4: Simplify right side
    31,609.85x = 884,059,087.68
  5. Step 5: Solve for x
    x = 884,059,087.68/31,609.85
  6. Step 6: Final answer
    x = 27,967.84

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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.