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Finding the Fourth Proportional to 32,462.80, 48,694 and 12,727.44

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Solution

The fourth proportional to 32,462.80, 48,694 and 12,727.44 is: 19,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462.80 : 48,694 = 12,727.44 : x
  2. Step 2: Convert to fraction form
    32,462.80/48,694 = 12,727.44/x
  3. Step 3: Cross multiply
    32,462.80x = 48,694 × 12,727.44
  4. Step 4: Simplify right side
    32,462.80x = 619,749,963.36
  5. Step 5: Solve for x
    x = 619,749,963.36/32,462.80
  6. Step 6: Final answer
    x = 19,091.08

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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.