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Finding the Fourth Proportional to 32,471.76, 48,689 and 12,727.20

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Solution

The fourth proportional to 32,471.76, 48,689 and 12,727.20 is: 19,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.76 : 48,689 = 12,727.20 : x
  2. Step 2: Convert to fraction form
    32,471.76/48,689 = 12,727.20/x
  3. Step 3: Cross multiply
    32,471.76x = 48,689 × 12,727.20
  4. Step 4: Simplify right side
    32,471.76x = 619,674,640.80
  5. Step 5: Solve for x
    x = 619,674,640.80/32,471.76
  6. Step 6: Final answer
    x = 19,083.49

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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.