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Finding the Fourth Proportional to 38,245.56, 57,370.84 and 10,165.20

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Solution

The fourth proportional to 38,245.56, 57,370.84 and 10,165.20 is: 15,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245.56 : 57,370.84 = 10,165.20 : x
  2. Step 2: Convert to fraction form
    38,245.56/57,370.84 = 10,165.20/x
  3. Step 3: Cross multiply
    38,245.56x = 57,370.84 × 10,165.20
  4. Step 4: Simplify right side
    38,245.56x = 583,186,062.77
  5. Step 5: Solve for x
    x = 583,186,062.77/38,245.56
  6. Step 6: Final answer
    x = 15,248.46

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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.