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Finding the Fourth Proportional to 38,402.68, 57,628.30 and 15,028.50

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Solution

The fourth proportional to 38,402.68, 57,628.30 and 15,028.50 is: 22,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402.68 : 57,628.30 = 15,028.50 : x
  2. Step 2: Convert to fraction form
    38,402.68/57,628.30 = 15,028.50/x
  3. Step 3: Cross multiply
    38,402.68x = 57,628.30 × 15,028.50
  4. Step 4: Simplify right side
    38,402.68x = 866,066,906.55
  5. Step 5: Solve for x
    x = 866,066,906.55/38,402.68
  6. Step 6: Final answer
    x = 22,552.25

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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.