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Finding the Fourth Proportional to 32,468.30, 48,724.32 and 12,744.52

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Solution

The fourth proportional to 32,468.30, 48,724.32 and 12,744.52 is: 19,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.30 : 48,724.32 = 12,744.52 : x
  2. Step 2: Convert to fraction form
    32,468.30/48,724.32 = 12,744.52/x
  3. Step 3: Cross multiply
    32,468.30x = 48,724.32 × 12,744.52
  4. Step 4: Simplify right side
    32,468.30x = 620,968,070.73
  5. Step 5: Solve for x
    x = 620,968,070.73/32,468.30
  6. Step 6: Final answer
    x = 19,125.36

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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.