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Finding the Fourth Proportional to 32,948.68, 49,422.58 and 7,988.96

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Solution

The fourth proportional to 32,948.68, 49,422.58 and 7,988.96 is: 11,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948.68 : 49,422.58 = 7,988.96 : x
  2. Step 2: Convert to fraction form
    32,948.68/49,422.58 = 7,988.96/x
  3. Step 3: Cross multiply
    32,948.68x = 49,422.58 × 7,988.96
  4. Step 4: Simplify right side
    32,948.68x = 394,835,014.72
  5. Step 5: Solve for x
    x = 394,835,014.72/32,948.68
  6. Step 6: Final answer
    x = 11,983.33

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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.