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Finding the Fourth Proportional to 110,947.60, 166,421.40 and 32,064.40

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Solution

The fourth proportional to 110,947.60, 166,421.40 and 32,064.40 is: 48,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,947.60 : 166,421.40 = 32,064.40 : x
  2. Step 2: Convert to fraction form
    110,947.60/166,421.40 = 32,064.40/x
  3. Step 3: Cross multiply
    110,947.60x = 166,421.40 × 32,064.40
  4. Step 4: Simplify right side
    110,947.60x = 5,336,202,338.16
  5. Step 5: Solve for x
    x = 5,336,202,338.16/110,947.60
  6. Step 6: Final answer
    x = 48,096.60

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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.