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Finding the Fourth Proportional to 55,827.60, 83,731.80 and 20,749.20

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Solution

The fourth proportional to 55,827.60, 83,731.80 and 20,749.20 is: 31,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,827.60 : 83,731.80 = 20,749.20 : x
  2. Step 2: Convert to fraction form
    55,827.60/83,731.80 = 20,749.20/x
  3. Step 3: Cross multiply
    55,827.60x = 83,731.80 × 20,749.20
  4. Step 4: Simplify right side
    55,827.60x = 1,737,367,864.56
  5. Step 5: Solve for x
    x = 1,737,367,864.56/55,827.60
  6. Step 6: Final answer
    x = 31,120.23

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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.