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Finding the Fourth Proportional to 32,535.44, 48,763.80 and 23,282

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Solution

The fourth proportional to 32,535.44, 48,763.80 and 23,282 is: 34,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,535.44 : 48,763.80 = 23,282 : x
  2. Step 2: Convert to fraction form
    32,535.44/48,763.80 = 23,282/x
  3. Step 3: Cross multiply
    32,535.44x = 48,763.80 × 23,282
  4. Step 4: Simplify right side
    32,535.44x = 1,135,318,791.60
  5. Step 5: Solve for x
    x = 1,135,318,791.60/32,535.44
  6. Step 6: Final answer
    x = 34,894.83

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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.