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Finding the Fourth Proportional to 43,593.50, 65,390.86 and 12,428.76

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Solution

The fourth proportional to 43,593.50, 65,390.86 and 12,428.76 is: 18,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,593.50 : 65,390.86 = 12,428.76 : x
  2. Step 2: Convert to fraction form
    43,593.50/65,390.86 = 12,428.76/x
  3. Step 3: Cross multiply
    43,593.50x = 65,390.86 × 12,428.76
  4. Step 4: Simplify right side
    43,593.50x = 812,727,305.13
  5. Step 5: Solve for x
    x = 812,727,305.13/43,593.50
  6. Step 6: Final answer
    x = 18,643.31

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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.