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Finding the Fourth Proportional to 57,124.32, 78,831.12 and 31,974.24

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Solution

The fourth proportional to 57,124.32, 78,831.12 and 31,974.24 is: 44,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,124.32 : 78,831.12 = 31,974.24 : x
  2. Step 2: Convert to fraction form
    57,124.32/78,831.12 = 31,974.24/x
  3. Step 3: Cross multiply
    57,124.32x = 78,831.12 × 31,974.24
  4. Step 4: Simplify right side
    57,124.32x = 2,520,565,150.35
  5. Step 5: Solve for x
    x = 2,520,565,150.35/57,124.32
  6. Step 6: Final answer
    x = 44,124.20

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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.