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Finding the Fourth Proportional to 32,524.96, 48,792 and 10,336

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Solution

The fourth proportional to 32,524.96, 48,792 and 10,336 is: 15,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,524.96 : 48,792 = 10,336 : x
  2. Step 2: Convert to fraction form
    32,524.96/48,792 = 10,336/x
  3. Step 3: Cross multiply
    32,524.96x = 48,792 × 10,336
  4. Step 4: Simplify right side
    32,524.96x = 504,314,112
  5. Step 5: Solve for x
    x = 504,314,112/32,524.96
  6. Step 6: Final answer
    x = 15,505.45

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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.