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Finding the Fourth Proportional to 38,182.80, 57,274.20 and 10,102.80

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Solution

The fourth proportional to 38,182.80, 57,274.20 and 10,102.80 is: 15,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,182.80 : 57,274.20 = 10,102.80 : x
  2. Step 2: Convert to fraction form
    38,182.80/57,274.20 = 10,102.80/x
  3. Step 3: Cross multiply
    38,182.80x = 57,274.20 × 10,102.80
  4. Step 4: Simplify right side
    38,182.80x = 578,629,787.76
  5. Step 5: Solve for x
    x = 578,629,787.76/38,182.80
  6. Step 6: Final answer
    x = 15,154.20

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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.