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Finding the Fourth Proportional to 32,948.66, 49,422.54 and 7,988.92

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Solution

The fourth proportional to 32,948.66, 49,422.54 and 7,988.92 is: 11,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948.66 : 49,422.54 = 7,988.92 : x
  2. Step 2: Convert to fraction form
    32,948.66/49,422.54 = 7,988.92/x
  3. Step 3: Cross multiply
    32,948.66x = 49,422.54 × 7,988.92
  4. Step 4: Simplify right side
    32,948.66x = 394,832,624.66
  5. Step 5: Solve for x
    x = 394,832,624.66/32,948.66
  6. Step 6: Final answer
    x = 11,983.27

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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.