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Finding the Fourth Proportional to 65,245.46, 90,034.47 and 38,382.78

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Solution

The fourth proportional to 65,245.46, 90,034.47 and 38,382.78 is: 52,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,245.46 : 90,034.47 = 38,382.78 : x
  2. Step 2: Convert to fraction form
    65,245.46/90,034.47 = 38,382.78/x
  3. Step 3: Cross multiply
    65,245.46x = 90,034.47 × 38,382.78
  4. Step 4: Simplify right side
    65,245.46x = 3,455,773,254.43
  5. Step 5: Solve for x
    x = 3,455,773,254.43/65,245.46
  6. Step 6: Final answer
    x = 52,965.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.