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Finding the Fourth Proportional to 38,224.68, 52,750.98 and 21,459.24

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Solution

The fourth proportional to 38,224.68, 52,750.98 and 21,459.24 is: 29,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,224.68 : 52,750.98 = 21,459.24 : x
  2. Step 2: Convert to fraction form
    38,224.68/52,750.98 = 21,459.24/x
  3. Step 3: Cross multiply
    38,224.68x = 52,750.98 × 21,459.24
  4. Step 4: Simplify right side
    38,224.68x = 1,131,995,940.06
  5. Step 5: Solve for x
    x = 1,131,995,940.06/38,224.68
  6. Step 6: Final answer
    x = 29,614.27

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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.