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Finding the Fourth Proportional to 32,197.54, 48,286.95 and 12,471.70

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Solution

The fourth proportional to 32,197.54, 48,286.95 and 12,471.70 is: 18,703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.54 : 48,286.95 = 12,471.70 : x
  2. Step 2: Convert to fraction form
    32,197.54/48,286.95 = 12,471.70/x
  3. Step 3: Cross multiply
    32,197.54x = 48,286.95 × 12,471.70
  4. Step 4: Simplify right side
    32,197.54x = 602,220,354.32
  5. Step 5: Solve for x
    x = 602,220,354.32/32,197.54
  6. Step 6: Final answer
    x = 18,703.92

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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.