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Finding the Fourth Proportional to 43,817.60, 65,726.40 and 16,126.40

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Solution

The fourth proportional to 43,817.60, 65,726.40 and 16,126.40 is: 24,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,817.60 : 65,726.40 = 16,126.40 : x
  2. Step 2: Convert to fraction form
    43,817.60/65,726.40 = 16,126.40/x
  3. Step 3: Cross multiply
    43,817.60x = 65,726.40 × 16,126.40
  4. Step 4: Simplify right side
    43,817.60x = 1,059,930,216.96
  5. Step 5: Solve for x
    x = 1,059,930,216.96/43,817.60
  6. Step 6: Final answer
    x = 24,189.60

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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.