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Finding the Fourth Proportional to 38,015.30, 52,459 and 21,018.55

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Solution

The fourth proportional to 38,015.30, 52,459 and 21,018.55 is: 29,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,015.30 : 52,459 = 21,018.55 : x
  2. Step 2: Convert to fraction form
    38,015.30/52,459 = 21,018.55/x
  3. Step 3: Cross multiply
    38,015.30x = 52,459 × 21,018.55
  4. Step 4: Simplify right side
    38,015.30x = 1,102,612,114.45
  5. Step 5: Solve for x
    x = 1,102,612,114.45/38,015.30
  6. Step 6: Final answer
    x = 29,004.43

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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.