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Finding the Fourth Proportional to 32,596.92, 48,858.08 and 13,849.47

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Solution

The fourth proportional to 32,596.92, 48,858.08 and 13,849.47 is: 20,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596.92 : 48,858.08 = 13,849.47 : x
  2. Step 2: Convert to fraction form
    32,596.92/48,858.08 = 13,849.47/x
  3. Step 3: Cross multiply
    32,596.92x = 48,858.08 × 13,849.47
  4. Step 4: Simplify right side
    32,596.92x = 676,658,443.97
  5. Step 5: Solve for x
    x = 676,658,443.97/32,596.92
  6. Step 6: Final answer
    x = 20,758.36

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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.