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Finding the Fourth Proportional to 32,553.62, 48,834 and 10,361.79

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Solution

The fourth proportional to 32,553.62, 48,834 and 10,361.79 is: 15,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,553.62 : 48,834 = 10,361.79 : x
  2. Step 2: Convert to fraction form
    32,553.62/48,834 = 10,361.79/x
  3. Step 3: Cross multiply
    32,553.62x = 48,834 × 10,361.79
  4. Step 4: Simplify right side
    32,553.62x = 506,007,652.86
  5. Step 5: Solve for x
    x = 506,007,652.86/32,553.62
  6. Step 6: Final answer
    x = 15,543.82

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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.