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Finding the Fourth Proportional to 65,382.66, 90,214.14 and 38,515.35

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Solution

The fourth proportional to 65,382.66, 90,214.14 and 38,515.35 is: 53,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,382.66 : 90,214.14 = 38,515.35 : x
  2. Step 2: Convert to fraction form
    65,382.66/90,214.14 = 38,515.35/x
  3. Step 3: Cross multiply
    65,382.66x = 90,214.14 × 38,515.35
  4. Step 4: Simplify right side
    65,382.66x = 3,474,629,177.05
  5. Step 5: Solve for x
    x = 3,474,629,177.05/65,382.66
  6. Step 6: Final answer
    x = 53,142.98

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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.