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Finding the Fourth Proportional to 43,681.68, 65,532.24 and 12,514.50

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Solution

The fourth proportional to 43,681.68, 65,532.24 and 12,514.50 is: 18,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,681.68 : 65,532.24 = 12,514.50 : x
  2. Step 2: Convert to fraction form
    43,681.68/65,532.24 = 12,514.50/x
  3. Step 3: Cross multiply
    43,681.68x = 65,532.24 × 12,514.50
  4. Step 4: Simplify right side
    43,681.68x = 820,103,217.48
  5. Step 5: Solve for x
    x = 820,103,217.48/43,681.68
  6. Step 6: Final answer
    x = 18,774.53

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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.