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Finding the Fourth Proportional to 38,350.26, 57,510 and 22,587.26

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Solution

The fourth proportional to 38,350.26, 57,510 and 22,587.26 is: 33,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,350.26 : 57,510 = 22,587.26 : x
  2. Step 2: Convert to fraction form
    38,350.26/57,510 = 22,587.26/x
  3. Step 3: Cross multiply
    38,350.26x = 57,510 × 22,587.26
  4. Step 4: Simplify right side
    38,350.26x = 1,298,993,035.05
  5. Step 5: Solve for x
    x = 1,298,993,035.05/38,350.26
  6. Step 6: Final answer
    x = 33,871.82

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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.