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Finding the Fourth Proportional to 32,605.84, 48,902.96 and 9,226.80

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Solution

The fourth proportional to 32,605.84, 48,902.96 and 9,226.80 is: 13,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.84 : 48,902.96 = 9,226.80 : x
  2. Step 2: Convert to fraction form
    32,605.84/48,902.96 = 9,226.80/x
  3. Step 3: Cross multiply
    32,605.84x = 48,902.96 × 9,226.80
  4. Step 4: Simplify right side
    32,605.84x = 451,217,831.33
  5. Step 5: Solve for x
    x = 451,217,831.33/32,605.84
  6. Step 6: Final answer
    x = 13,838.56

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1.5x scale

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.