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Finding the Fourth Proportional to 65,686.12, 90,614.37 and 38,815.63

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Solution

The fourth proportional to 65,686.12, 90,614.37 and 38,815.63 is: 53,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,686.12 : 90,614.37 = 38,815.63 : x
  2. Step 2: Convert to fraction form
    65,686.12/90,614.37 = 38,815.63/x
  3. Step 3: Cross multiply
    65,686.12x = 90,614.37 × 38,815.63
  4. Step 4: Simplify right side
    65,686.12x = 3,517,253,858.60
  5. Step 5: Solve for x
    x = 3,517,253,858.60/65,686.12
  6. Step 6: Final answer
    x = 53,546.38

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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.