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Finding the Fourth Proportional to 32,170.67, 48,202.65 and 22,764.06

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Solution

The fourth proportional to 32,170.67, 48,202.65 and 22,764.06 is: 34,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,170.67 : 48,202.65 = 22,764.06 : x
  2. Step 2: Convert to fraction form
    32,170.67/48,202.65 = 22,764.06/x
  3. Step 3: Cross multiply
    32,170.67x = 48,202.65 × 22,764.06
  4. Step 4: Simplify right side
    32,170.67x = 1,097,288,016.76
  5. Step 5: Solve for x
    x = 1,097,288,016.76/32,170.67
  6. Step 6: Final answer
    x = 34,108.34

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1.5x scale

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.