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Finding the Fourth Proportional to 36,561.50, 54,842.25 and 13,187.93

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Solution

The fourth proportional to 36,561.50, 54,842.25 and 13,187.93 is: 19,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,561.50 : 54,842.25 = 13,187.93 : x
  2. Step 2: Convert to fraction form
    36,561.50/54,842.25 = 13,187.93/x
  3. Step 3: Cross multiply
    36,561.50x = 54,842.25 × 13,187.93
  4. Step 4: Simplify right side
    36,561.50x = 723,255,479.83
  5. Step 5: Solve for x
    x = 723,255,479.83/36,561.50
  6. Step 6: Final answer
    x = 19,781.89

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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.