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Finding the Fourth Proportional to 32,593.54, 48,876.54 and 13,872.82

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Solution

The fourth proportional to 32,593.54, 48,876.54 and 13,872.82 is: 20,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,593.54 : 48,876.54 = 13,872.82 : x
  2. Step 2: Convert to fraction form
    32,593.54/48,876.54 = 13,872.82/x
  3. Step 3: Cross multiply
    32,593.54x = 48,876.54 × 13,872.82
  4. Step 4: Simplify right side
    32,593.54x = 678,055,441.64
  5. Step 5: Solve for x
    x = 678,055,441.64/32,593.54
  6. Step 6: Final answer
    x = 20,803.37

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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.