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Finding the Fourth Proportional to 63,823.74, 95,741.96 and 24,414

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Solution

The fourth proportional to 63,823.74, 95,741.96 and 24,414 is: 36,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,823.74 : 95,741.96 = 24,414 : x
  2. Step 2: Convert to fraction form
    63,823.74/95,741.96 = 24,414/x
  3. Step 3: Cross multiply
    63,823.74x = 95,741.96 × 24,414
  4. Step 4: Simplify right side
    63,823.74x = 2,337,444,089.37
  5. Step 5: Solve for x
    x = 2,337,444,089.37/63,823.74
  6. Step 6: Final answer
    x = 36,623.43

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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.