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Finding the Fourth Proportional to 52,553.89, 78,828.63 and 24,464.29

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Solution

The fourth proportional to 52,553.89, 78,828.63 and 24,464.29 is: 36,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,553.89 : 78,828.63 = 24,464.29 : x
  2. Step 2: Convert to fraction form
    52,553.89/78,828.63 = 24,464.29/x
  3. Step 3: Cross multiply
    52,553.89x = 78,828.63 × 24,464.29
  4. Step 4: Simplify right side
    52,553.89x = 1,928,486,464.62
  5. Step 5: Solve for x
    x = 1,928,486,464.62/52,553.89
  6. Step 6: Final answer
    x = 36,695.41

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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.