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Finding the Fourth Proportional to 32,363.80, 48,539.22 and 12,643

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Solution

The fourth proportional to 32,363.80, 48,539.22 and 12,643 is: 18,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,363.80 : 48,539.22 = 12,643 : x
  2. Step 2: Convert to fraction form
    32,363.80/48,539.22 = 12,643/x
  3. Step 3: Cross multiply
    32,363.80x = 48,539.22 × 12,643
  4. Step 4: Simplify right side
    32,363.80x = 613,681,358.46
  5. Step 5: Solve for x
    x = 613,681,358.46/32,363.80
  6. Step 6: Final answer
    x = 18,961.97

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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.