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Finding the Fourth Proportional to 32,748.29, 49,063.76 and 19,902.11

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Solution

The fourth proportional to 32,748.29, 49,063.76 and 19,902.11 is: 29,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,748.29 : 49,063.76 = 19,902.11 : x
  2. Step 2: Convert to fraction form
    32,748.29/49,063.76 = 19,902.11/x
  3. Step 3: Cross multiply
    32,748.29x = 49,063.76 × 19,902.11
  4. Step 4: Simplify right side
    32,748.29x = 976,472,249.02
  5. Step 5: Solve for x
    x = 976,472,249.02/32,748.29
  6. Step 6: Final answer
    x = 29,817.50

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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.