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Finding the Fourth Proportional to 29,569.68, 40,812.84 and 20,142

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Solution

The fourth proportional to 29,569.68, 40,812.84 and 20,142 is: 27,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,569.68 : 40,812.84 = 20,142 : x
  2. Step 2: Convert to fraction form
    29,569.68/40,812.84 = 20,142/x
  3. Step 3: Cross multiply
    29,569.68x = 40,812.84 × 20,142
  4. Step 4: Simplify right side
    29,569.68x = 822,052,223.28
  5. Step 5: Solve for x
    x = 822,052,223.28/29,569.68
  6. Step 6: Final answer
    x = 27,800.51

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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.