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Finding the Fourth Proportional to 32,548.70, 48,843.06 and 15,019.82

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Solution

The fourth proportional to 32,548.70, 48,843.06 and 15,019.82 is: 22,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548.70 : 48,843.06 = 15,019.82 : x
  2. Step 2: Convert to fraction form
    32,548.70/48,843.06 = 15,019.82/x
  3. Step 3: Cross multiply
    32,548.70x = 48,843.06 × 15,019.82
  4. Step 4: Simplify right side
    32,548.70x = 733,613,969.45
  5. Step 5: Solve for x
    x = 733,613,969.45/32,548.70
  6. Step 6: Final answer
    x = 22,538.96

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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.