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Finding the Fourth Proportional to 43,347.60, 65,023.66 and 13,767.75

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Solution

The fourth proportional to 43,347.60, 65,023.66 and 13,767.75 is: 20,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,347.60 : 65,023.66 = 13,767.75 : x
  2. Step 2: Convert to fraction form
    43,347.60/65,023.66 = 13,767.75/x
  3. Step 3: Cross multiply
    43,347.60x = 65,023.66 × 13,767.75
  4. Step 4: Simplify right side
    43,347.60x = 895,229,704.38
  5. Step 5: Solve for x
    x = 895,229,704.38/43,347.60
  6. Step 6: Final answer
    x = 20,652.35

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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.