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Finding the Fourth Proportional to 36,159.71, 54,229.82 and 9,858.20

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Solution

The fourth proportional to 36,159.71, 54,229.82 and 9,858.20 is: 14,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,159.71 : 54,229.82 = 9,858.20 : x
  2. Step 2: Convert to fraction form
    36,159.71/54,229.82 = 9,858.20/x
  3. Step 3: Cross multiply
    36,159.71x = 54,229.82 × 9,858.20
  4. Step 4: Simplify right side
    36,159.71x = 534,608,091.08
  5. Step 5: Solve for x
    x = 534,608,091.08/36,159.71
  6. Step 6: Final answer
    x = 14,784.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.