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Finding the Fourth Proportional to 63,835.74, 95,760 and 24,426

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Solution

The fourth proportional to 63,835.74, 95,760 and 24,426 is: 36,641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,835.74 : 95,760 = 24,426 : x
  2. Step 2: Convert to fraction form
    63,835.74/95,760 = 24,426/x
  3. Step 3: Cross multiply
    63,835.74x = 95,760 × 24,426
  4. Step 4: Simplify right side
    63,835.74x = 2,339,033,760
  5. Step 5: Solve for x
    x = 2,339,033,760/63,835.74
  6. Step 6: Final answer
    x = 36,641.45

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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.