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Finding the Fourth Proportional to 27,061.16, 40,545.28 and 24,322

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Solution

The fourth proportional to 27,061.16, 40,545.28 and 24,322 is: 36,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,061.16 : 40,545.28 = 24,322 : x
  2. Step 2: Convert to fraction form
    27,061.16/40,545.28 = 24,322/x
  3. Step 3: Cross multiply
    27,061.16x = 40,545.28 × 24,322
  4. Step 4: Simplify right side
    27,061.16x = 986,142,300.16
  5. Step 5: Solve for x
    x = 986,142,300.16/27,061.16
  6. Step 6: Final answer
    x = 36,441.24

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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.