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Finding the Fourth Proportional to 43,753.48, 65,630.76 and 12,589

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Solution

The fourth proportional to 43,753.48, 65,630.76 and 12,589 is: 18,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,753.48 : 65,630.76 = 12,589 : x
  2. Step 2: Convert to fraction form
    43,753.48/65,630.76 = 12,589/x
  3. Step 3: Cross multiply
    43,753.48x = 65,630.76 × 12,589
  4. Step 4: Simplify right side
    43,753.48x = 826,225,637.64
  5. Step 5: Solve for x
    x = 826,225,637.64/43,753.48
  6. Step 6: Final answer
    x = 18,883.66

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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.