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Finding the Fourth Proportional to 65,701.56, 98,493.84 and 24,138.84

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Solution

The fourth proportional to 65,701.56, 98,493.84 and 24,138.84 is: 36,186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,701.56 : 98,493.84 = 24,138.84 : x
  2. Step 2: Convert to fraction form
    65,701.56/98,493.84 = 24,138.84/x
  3. Step 3: Cross multiply
    65,701.56x = 98,493.84 × 24,138.84
  4. Step 4: Simplify right side
    65,701.56x = 2,377,527,044.75
  5. Step 5: Solve for x
    x = 2,377,527,044.75/65,701.56
  6. Step 6: Final answer
    x = 36,186.77

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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.