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Finding the Fourth Proportional to 32,562.92, 48,811.44 and 12,855.36

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Solution

The fourth proportional to 32,562.92, 48,811.44 and 12,855.36 is: 19,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,562.92 : 48,811.44 = 12,855.36 : x
  2. Step 2: Convert to fraction form
    32,562.92/48,811.44 = 12,855.36/x
  3. Step 3: Cross multiply
    32,562.92x = 48,811.44 × 12,855.36
  4. Step 4: Simplify right side
    32,562.92x = 627,488,633.32
  5. Step 5: Solve for x
    x = 627,488,633.32/32,562.92
  6. Step 6: Final answer
    x = 19,270.04

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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.