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Finding the Fourth Proportional to 52,049.36, 71,831.32 and 29,380.10

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Solution

The fourth proportional to 52,049.36, 71,831.32 and 29,380.10 is: 40,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,049.36 : 71,831.32 = 29,380.10 : x
  2. Step 2: Convert to fraction form
    52,049.36/71,831.32 = 29,380.10/x
  3. Step 3: Cross multiply
    52,049.36x = 71,831.32 × 29,380.10
  4. Step 4: Simplify right side
    52,049.36x = 2,110,411,364.73
  5. Step 5: Solve for x
    x = 2,110,411,364.73/52,049.36
  6. Step 6: Final answer
    x = 40,546.35

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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.