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Finding the Fourth Proportional to 110,948.60, 166,422.90 and 32,065.40

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Solution

The fourth proportional to 110,948.60, 166,422.90 and 32,065.40 is: 48,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,948.60 : 166,422.90 = 32,065.40 : x
  2. Step 2: Convert to fraction form
    110,948.60/166,422.90 = 32,065.40/x
  3. Step 3: Cross multiply
    110,948.60x = 166,422.90 × 32,065.40
  4. Step 4: Simplify right side
    110,948.60x = 5,336,416,857.66
  5. Step 5: Solve for x
    x = 5,336,416,857.66/110,948.60
  6. Step 6: Final answer
    x = 48,098.10

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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.