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Finding the Fourth Proportional to 39,928.64, 55,101.42 and 22,934

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Solution

The fourth proportional to 39,928.64, 55,101.42 and 22,934 is: 31,648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,928.64 : 55,101.42 = 22,934 : x
  2. Step 2: Convert to fraction form
    39,928.64/55,101.42 = 22,934/x
  3. Step 3: Cross multiply
    39,928.64x = 55,101.42 × 22,934
  4. Step 4: Simplify right side
    39,928.64x = 1,263,695,966.28
  5. Step 5: Solve for x
    x = 1,263,695,966.28/39,928.64
  6. Step 6: Final answer
    x = 31,648.86

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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.