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Finding the Fourth Proportional to 32,221.87, 48,330.88 and 19,157.38

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Solution

The fourth proportional to 32,221.87, 48,330.88 and 19,157.38 is: 28,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,221.87 : 48,330.88 = 19,157.38 : x
  2. Step 2: Convert to fraction form
    32,221.87/48,330.88 = 19,157.38/x
  3. Step 3: Cross multiply
    32,221.87x = 48,330.88 × 19,157.38
  4. Step 4: Simplify right side
    32,221.87x = 925,892,865.17
  5. Step 5: Solve for x
    x = 925,892,865.17/32,221.87
  6. Step 6: Final answer
    x = 28,734.92

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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.