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Finding the Fourth Proportional to 52,319.16, 72,227.99 and 41,997.87

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Solution

The fourth proportional to 52,319.16, 72,227.99 and 41,997.87 is: 57,979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,319.16 : 72,227.99 = 41,997.87 : x
  2. Step 2: Convert to fraction form
    52,319.16/72,227.99 = 41,997.87/x
  3. Step 3: Cross multiply
    52,319.16x = 72,227.99 × 41,997.87
  4. Step 4: Simplify right side
    52,319.16x = 3,033,421,734.38
  5. Step 5: Solve for x
    x = 3,033,421,734.38/52,319.16
  6. Step 6: Final answer
    x = 57,979.18

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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.