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Finding the Fourth Proportional to 32,493.85, 44,844.50 and 19,744.09

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Solution

The fourth proportional to 32,493.85, 44,844.50 and 19,744.09 is: 27,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.85 : 44,844.50 = 19,744.09 : x
  2. Step 2: Convert to fraction form
    32,493.85/44,844.50 = 19,744.09/x
  3. Step 3: Cross multiply
    32,493.85x = 44,844.50 × 19,744.09
  4. Step 4: Simplify right side
    32,493.85x = 885,413,781.25
  5. Step 5: Solve for x
    x = 885,413,781.25/32,493.85
  6. Step 6: Final answer
    x = 27,248.66

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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.