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Finding the Fourth Proportional to 65,906.19, 90,951.80 and 36,098.19

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Solution

The fourth proportional to 65,906.19, 90,951.80 and 36,098.19 is: 49,816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,906.19 : 90,951.80 = 36,098.19 : x
  2. Step 2: Convert to fraction form
    65,906.19/90,951.80 = 36,098.19/x
  3. Step 3: Cross multiply
    65,906.19x = 90,951.80 × 36,098.19
  4. Step 4: Simplify right side
    65,906.19x = 3,283,195,176.75
  5. Step 5: Solve for x
    x = 3,283,195,176.75/65,906.19
  6. Step 6: Final answer
    x = 49,816.19

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1.5x scale

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.