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Finding the Fourth Proportional to 43,891.38, 65,837.07 and 24,159.78

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Solution

The fourth proportional to 43,891.38, 65,837.07 and 24,159.78 is: 36,239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,891.38 : 65,837.07 = 24,159.78 : x
  2. Step 2: Convert to fraction form
    43,891.38/65,837.07 = 24,159.78/x
  3. Step 3: Cross multiply
    43,891.38x = 65,837.07 × 24,159.78
  4. Step 4: Simplify right side
    43,891.38x = 1,590,609,127.04
  5. Step 5: Solve for x
    x = 1,590,609,127.04/43,891.38
  6. Step 6: Final answer
    x = 36,239.67

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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.