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Finding the Fourth Proportional to 52,165.62, 78,252.82 and 16,632

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Solution

The fourth proportional to 52,165.62, 78,252.82 and 16,632 is: 24,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,165.62 : 78,252.82 = 16,632 : x
  2. Step 2: Convert to fraction form
    52,165.62/78,252.82 = 16,632/x
  3. Step 3: Cross multiply
    52,165.62x = 78,252.82 × 16,632
  4. Step 4: Simplify right side
    52,165.62x = 1,301,500,860.66
  5. Step 5: Solve for x
    x = 1,301,500,860.66/52,165.62
  6. Step 6: Final answer
    x = 24,949.40

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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.