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Finding the Fourth Proportional to 32,142.29, 48,215.73 and 9,952.82

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Solution

The fourth proportional to 32,142.29, 48,215.73 and 9,952.82 is: 14,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.29 : 48,215.73 = 9,952.82 : x
  2. Step 2: Convert to fraction form
    32,142.29/48,215.73 = 9,952.82/x
  3. Step 3: Cross multiply
    32,142.29x = 48,215.73 × 9,952.82
  4. Step 4: Simplify right side
    32,142.29x = 479,882,481.86
  5. Step 5: Solve for x
    x = 479,882,481.86/32,142.29
  6. Step 6: Final answer
    x = 14,929.94

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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.