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Finding the Fourth Proportional to 31,542.48, 47,288.08 and 12,831.28

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Solution

The fourth proportional to 31,542.48, 47,288.08 and 12,831.28 is: 19,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542.48 : 47,288.08 = 12,831.28 : x
  2. Step 2: Convert to fraction form
    31,542.48/47,288.08 = 12,831.28/x
  3. Step 3: Cross multiply
    31,542.48x = 47,288.08 × 12,831.28
  4. Step 4: Simplify right side
    31,542.48x = 606,766,595.14
  5. Step 5: Solve for x
    x = 606,766,595.14/31,542.48
  6. Step 6: Final answer
    x = 19,236.49

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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.