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Finding the Fourth Proportional to 32,144.78, 48,217.82 and 9,656.35

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Solution

The fourth proportional to 32,144.78, 48,217.82 and 9,656.35 is: 14,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.78 : 48,217.82 = 9,656.35 : x
  2. Step 2: Convert to fraction form
    32,144.78/48,217.82 = 9,656.35/x
  3. Step 3: Cross multiply
    32,144.78x = 48,217.82 × 9,656.35
  4. Step 4: Simplify right side
    32,144.78x = 465,607,977.33
  5. Step 5: Solve for x
    x = 465,607,977.33/32,144.78
  6. Step 6: Final answer
    x = 14,484.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.