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Finding the Fourth Proportional to 32,046.68, 48,035.98 and 18,905.24

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Solution

The fourth proportional to 32,046.68, 48,035.98 and 18,905.24 is: 28,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.68 : 48,035.98 = 18,905.24 : x
  2. Step 2: Convert to fraction form
    32,046.68/48,035.98 = 18,905.24/x
  3. Step 3: Cross multiply
    32,046.68x = 48,035.98 × 18,905.24
  4. Step 4: Simplify right side
    32,046.68x = 908,131,730.54
  5. Step 5: Solve for x
    x = 908,131,730.54/32,046.68
  6. Step 6: Final answer
    x = 28,337.78

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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.