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Finding the Fourth Proportional to 32,657.35, 49,002.88 and 13,932.36

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Solution

The fourth proportional to 32,657.35, 49,002.88 and 13,932.36 is: 20,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.35 : 49,002.88 = 13,932.36 : x
  2. Step 2: Convert to fraction form
    32,657.35/49,002.88 = 13,932.36/x
  3. Step 3: Cross multiply
    32,657.35x = 49,002.88 × 13,932.36
  4. Step 4: Simplify right side
    32,657.35x = 682,725,546.61
  5. Step 5: Solve for x
    x = 682,725,546.61/32,657.35
  6. Step 6: Final answer
    x = 20,905.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.