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Finding the Fourth Proportional to 31,009.50, 42,793.11 and 16,862.45

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Solution

The fourth proportional to 31,009.50, 42,793.11 and 16,862.45 is: 23,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.50 : 42,793.11 = 16,862.45 : x
  2. Step 2: Convert to fraction form
    31,009.50/42,793.11 = 16,862.45/x
  3. Step 3: Cross multiply
    31,009.50x = 42,793.11 × 16,862.45
  4. Step 4: Simplify right side
    31,009.50x = 721,596,463.75
  5. Step 5: Solve for x
    x = 721,596,463.75/31,009.50
  6. Step 6: Final answer
    x = 23,270.17

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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.