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Finding the Fourth Proportional to 31,545.84, 47,341.44 and 18,402.24

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Solution

The fourth proportional to 31,545.84, 47,341.44 and 18,402.24 is: 27,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,545.84 : 47,341.44 = 18,402.24 : x
  2. Step 2: Convert to fraction form
    31,545.84/47,341.44 = 18,402.24/x
  3. Step 3: Cross multiply
    31,545.84x = 47,341.44 × 18,402.24
  4. Step 4: Simplify right side
    31,545.84x = 871,188,540.83
  5. Step 5: Solve for x
    x = 871,188,540.83/31,545.84
  6. Step 6: Final answer
    x = 27,616.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.