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Finding the Fourth Proportional to 32,486.69, 48,736.92 and 10,297.14

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Solution

The fourth proportional to 32,486.69, 48,736.92 and 10,297.14 is: 15,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.69 : 48,736.92 = 10,297.14 : x
  2. Step 2: Convert to fraction form
    32,486.69/48,736.92 = 10,297.14/x
  3. Step 3: Cross multiply
    32,486.69x = 48,736.92 × 10,297.14
  4. Step 4: Simplify right side
    32,486.69x = 501,850,888.41
  5. Step 5: Solve for x
    x = 501,850,888.41/32,486.69
  6. Step 6: Final answer
    x = 15,447.89

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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.