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Finding the Fourth Proportional to 52,857, 79,266.48 and 24,772.20

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Solution

The fourth proportional to 52,857, 79,266.48 and 24,772.20 is: 37,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,857 : 79,266.48 = 24,772.20 : x
  2. Step 2: Convert to fraction form
    52,857/79,266.48 = 24,772.20/x
  3. Step 3: Cross multiply
    52,857x = 79,266.48 × 24,772.20
  4. Step 4: Simplify right side
    52,857x = 1,963,605,095.86
  5. Step 5: Solve for x
    x = 1,963,605,095.86/52,857
  6. Step 6: Final answer
    x = 37,149.39

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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.