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Finding the Fourth Proportional to 32,648.80, 48,927.01 and 13,909.97

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Solution

The fourth proportional to 32,648.80, 48,927.01 and 13,909.97 is: 20,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648.80 : 48,927.01 = 13,909.97 : x
  2. Step 2: Convert to fraction form
    32,648.80/48,927.01 = 13,909.97/x
  3. Step 3: Cross multiply
    32,648.80x = 48,927.01 × 13,909.97
  4. Step 4: Simplify right side
    32,648.80x = 680,573,241.29
  5. Step 5: Solve for x
    x = 680,573,241.29/32,648.80
  6. Step 6: Final answer
    x = 20,845.28

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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.