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Finding the Fourth Proportional to 30,545.40, 42,145.29 and 20,470.17

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Solution

The fourth proportional to 30,545.40, 42,145.29 and 20,470.17 is: 28,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,545.40 : 42,145.29 = 20,470.17 : x
  2. Step 2: Convert to fraction form
    30,545.40/42,145.29 = 20,470.17/x
  3. Step 3: Cross multiply
    30,545.40x = 42,145.29 × 20,470.17
  4. Step 4: Simplify right side
    30,545.40x = 862,721,251.00
  5. Step 5: Solve for x
    x = 862,721,251.00/30,545.40
  6. Step 6: Final answer
    x = 28,243.90

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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.