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Finding the Fourth Proportional to 31,826.40, 43,940.40 and 28,831.20

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Solution

The fourth proportional to 31,826.40, 43,940.40 and 28,831.20 is: 39,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,826.40 : 43,940.40 = 28,831.20 : x
  2. Step 2: Convert to fraction form
    31,826.40/43,940.40 = 28,831.20/x
  3. Step 3: Cross multiply
    31,826.40x = 43,940.40 × 28,831.20
  4. Step 4: Simplify right side
    31,826.40x = 1,266,854,460.48
  5. Step 5: Solve for x
    x = 1,266,854,460.48/31,826.40
  6. Step 6: Final answer
    x = 39,805.14

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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.