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Finding the Fourth Proportional to 42,758.53, 59,023.42 and 38,274.53

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Solution

The fourth proportional to 42,758.53, 59,023.42 and 38,274.53 is: 52,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,758.53 : 59,023.42 = 38,274.53 : x
  2. Step 2: Convert to fraction form
    42,758.53/59,023.42 = 38,274.53/x
  3. Step 3: Cross multiply
    42,758.53x = 59,023.42 × 38,274.53
  4. Step 4: Simplify right side
    42,758.53x = 2,259,093,268.69
  5. Step 5: Solve for x
    x = 2,259,093,268.69/42,758.53
  6. Step 6: Final answer
    x = 52,833.75

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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.