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Finding the Fourth Proportional to 32,537.78, 44,902.14 and 17,633.78

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Solution

The fourth proportional to 32,537.78, 44,902.14 and 17,633.78 is: 24,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,537.78 : 44,902.14 = 17,633.78 : x
  2. Step 2: Convert to fraction form
    32,537.78/44,902.14 = 17,633.78/x
  3. Step 3: Cross multiply
    32,537.78x = 44,902.14 × 17,633.78
  4. Step 4: Simplify right side
    32,537.78x = 791,794,458.29
  5. Step 5: Solve for x
    x = 791,794,458.29/32,537.78
  6. Step 6: Final answer
    x = 24,334.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.