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Finding the Fourth Proportional to 32,280.50, 48,423.54 and 8,906.94

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Solution

The fourth proportional to 32,280.50, 48,423.54 and 8,906.94 is: 13,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,280.50 : 48,423.54 = 8,906.94 : x
  2. Step 2: Convert to fraction form
    32,280.50/48,423.54 = 8,906.94/x
  3. Step 3: Cross multiply
    32,280.50x = 48,423.54 × 8,906.94
  4. Step 4: Simplify right side
    32,280.50x = 431,305,565.37
  5. Step 5: Solve for x
    x = 431,305,565.37/32,280.50
  6. Step 6: Final answer
    x = 13,361.18

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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.