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Finding the Fourth Proportional to 65,494.80, 90,382.82 and 35,686.80

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Solution

The fourth proportional to 65,494.80, 90,382.82 and 35,686.80 is: 49,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,494.80 : 90,382.82 = 35,686.80 : x
  2. Step 2: Convert to fraction form
    65,494.80/90,382.82 = 35,686.80/x
  3. Step 3: Cross multiply
    65,494.80x = 90,382.82 × 35,686.80
  4. Step 4: Simplify right side
    65,494.80x = 3,225,473,124.25
  5. Step 5: Solve for x
    x = 3,225,473,124.25/65,494.80
  6. Step 6: Final answer
    x = 49,247.78

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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.