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Finding the Fourth Proportional to 43,681.88, 65,432.10 and 27,808.41

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Solution

The fourth proportional to 43,681.88, 65,432.10 and 27,808.41 is: 41,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,681.88 : 65,432.10 = 27,808.41 : x
  2. Step 2: Convert to fraction form
    43,681.88/65,432.10 = 27,808.41/x
  3. Step 3: Cross multiply
    43,681.88x = 65,432.10 × 27,808.41
  4. Step 4: Simplify right side
    43,681.88x = 1,819,563,013.61
  5. Step 5: Solve for x
    x = 1,819,563,013.61/43,681.88
  6. Step 6: Final answer
    x = 41,654.87

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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.