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Finding the Fourth Proportional to 32,754.84, 49,091.14 and 14,012.83

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Solution

The fourth proportional to 32,754.84, 49,091.14 and 14,012.83 is: 21,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754.84 : 49,091.14 = 14,012.83 : x
  2. Step 2: Convert to fraction form
    32,754.84/49,091.14 = 14,012.83/x
  3. Step 3: Cross multiply
    32,754.84x = 49,091.14 × 14,012.83
  4. Step 4: Simplify right side
    32,754.84x = 687,905,799.33
  5. Step 5: Solve for x
    x = 687,905,799.33/32,754.84
  6. Step 6: Final answer
    x = 21,001.65

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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.