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Finding the Fourth Proportional to 65,177.64, 89,924.18 and 36,493.07

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Solution

The fourth proportional to 65,177.64, 89,924.18 and 36,493.07 is: 50,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,177.64 : 89,924.18 = 36,493.07 : x
  2. Step 2: Convert to fraction form
    65,177.64/89,924.18 = 36,493.07/x
  3. Step 3: Cross multiply
    65,177.64x = 89,924.18 × 36,493.07
  4. Step 4: Simplify right side
    65,177.64x = 3,281,608,763.35
  5. Step 5: Solve for x
    x = 3,281,608,763.35/65,177.64
  6. Step 6: Final answer
    x = 50,348.69

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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.