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Finding the Fourth Proportional to 38,347.58, 57,504.84 and 13,380.18

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Solution

The fourth proportional to 38,347.58, 57,504.84 and 13,380.18 is: 20,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,347.58 : 57,504.84 = 13,380.18 : x
  2. Step 2: Convert to fraction form
    38,347.58/57,504.84 = 13,380.18/x
  3. Step 3: Cross multiply
    38,347.58x = 57,504.84 × 13,380.18
  4. Step 4: Simplify right side
    38,347.58x = 769,425,110.07
  5. Step 5: Solve for x
    x = 769,425,110.07/38,347.58
  6. Step 6: Final answer
    x = 20,064.50

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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.