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Finding the Fourth Proportional to 39,909.80, 55,071.78 and 23,141

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Solution

The fourth proportional to 39,909.80, 55,071.78 and 23,141 is: 31,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,909.80 : 55,071.78 = 23,141 : x
  2. Step 2: Convert to fraction form
    39,909.80/55,071.78 = 23,141/x
  3. Step 3: Cross multiply
    39,909.80x = 55,071.78 × 23,141
  4. Step 4: Simplify right side
    39,909.80x = 1,274,416,060.98
  5. Step 5: Solve for x
    x = 1,274,416,060.98/39,909.80
  6. Step 6: Final answer
    x = 31,932.41

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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.