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Finding the Fourth Proportional to 57,744, 79,686.72 and 31,248

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Solution

The fourth proportional to 57,744, 79,686.72 and 31,248 is: 43,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,744 : 79,686.72 = 31,248 : x
  2. Step 2: Convert to fraction form
    57,744/79,686.72 = 31,248/x
  3. Step 3: Cross multiply
    57,744x = 79,686.72 × 31,248
  4. Step 4: Simplify right side
    57,744x = 2,490,050,626.56
  5. Step 5: Solve for x
    x = 2,490,050,626.56/57,744
  6. Step 6: Final answer
    x = 43,122.24

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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.