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Finding the Fourth Proportional to 110,983, 166,479.34 and 32,105.20

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Solution

The fourth proportional to 110,983, 166,479.34 and 32,105.20 is: 48,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,983 : 166,479.34 = 32,105.20 : x
  2. Step 2: Convert to fraction form
    110,983/166,479.34 = 32,105.20/x
  3. Step 3: Cross multiply
    110,983x = 166,479.34 × 32,105.20
  4. Step 4: Simplify right side
    110,983x = 5,344,852,506.57
  5. Step 5: Solve for x
    x = 5,344,852,506.57/110,983
  6. Step 6: Final answer
    x = 48,159.20

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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.