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Finding the Fourth Proportional to 38,023.60, 52,471.62 and 21,028.80

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Solution

The fourth proportional to 38,023.60, 52,471.62 and 21,028.80 is: 29,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,023.60 : 52,471.62 = 21,028.80 : x
  2. Step 2: Convert to fraction form
    38,023.60/52,471.62 = 21,028.80/x
  3. Step 3: Cross multiply
    38,023.60x = 52,471.62 × 21,028.80
  4. Step 4: Simplify right side
    38,023.60x = 1,103,415,202.66
  5. Step 5: Solve for x
    x = 1,103,415,202.66/38,023.60
  6. Step 6: Final answer
    x = 29,019.22

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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.