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Finding the Fourth Proportional to 52,874.88, 72,964.80 and 28,997.12

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Solution

The fourth proportional to 52,874.88, 72,964.80 and 28,997.12 is: 40,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,874.88 : 72,964.80 = 28,997.12 : x
  2. Step 2: Convert to fraction form
    52,874.88/72,964.80 = 28,997.12/x
  3. Step 3: Cross multiply
    52,874.88x = 72,964.80 × 28,997.12
  4. Step 4: Simplify right side
    52,874.88x = 2,115,769,061.38
  5. Step 5: Solve for x
    x = 2,115,769,061.38/52,874.88
  6. Step 6: Final answer
    x = 40,014.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.