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Finding the Fourth Proportional to 38,025.40, 52,488.12 and 22,114.84

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Solution

The fourth proportional to 38,025.40, 52,488.12 and 22,114.84 is: 30,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,025.40 : 52,488.12 = 22,114.84 : x
  2. Step 2: Convert to fraction form
    38,025.40/52,488.12 = 22,114.84/x
  3. Step 3: Cross multiply
    38,025.40x = 52,488.12 × 22,114.84
  4. Step 4: Simplify right side
    38,025.40x = 1,160,766,375.70
  5. Step 5: Solve for x
    x = 1,160,766,375.70/38,025.40
  6. Step 6: Final answer
    x = 30,526.08

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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.