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Finding the Fourth Proportional to 32,121.84, 48,186.36 and 8,748.48

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Solution

The fourth proportional to 32,121.84, 48,186.36 and 8,748.48 is: 13,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,121.84 : 48,186.36 = 8,748.48 : x
  2. Step 2: Convert to fraction form
    32,121.84/48,186.36 = 8,748.48/x
  3. Step 3: Cross multiply
    32,121.84x = 48,186.36 × 8,748.48
  4. Step 4: Simplify right side
    32,121.84x = 421,557,406.73
  5. Step 5: Solve for x
    x = 421,557,406.73/32,121.84
  6. Step 6: Final answer
    x = 13,123.70

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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.