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Finding the Fourth Proportional to 38,020.16, 52,459.16 and 21,889.28

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Solution

The fourth proportional to 38,020.16, 52,459.16 and 21,889.28 is: 30,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,020.16 : 52,459.16 = 21,889.28 : x
  2. Step 2: Convert to fraction form
    38,020.16/52,459.16 = 21,889.28/x
  3. Step 3: Cross multiply
    38,020.16x = 52,459.16 × 21,889.28
  4. Step 4: Simplify right side
    38,020.16x = 1,148,293,241.80
  5. Step 5: Solve for x
    x = 1,148,293,241.80/38,020.16
  6. Step 6: Final answer
    x = 30,202.22

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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.