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Finding the Fourth Proportional to 38,067.40, 57,101.10 and 10,365.40

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Solution

The fourth proportional to 38,067.40, 57,101.10 and 10,365.40 is: 15,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,067.40 : 57,101.10 = 10,365.40 : x
  2. Step 2: Convert to fraction form
    38,067.40/57,101.10 = 10,365.40/x
  3. Step 3: Cross multiply
    38,067.40x = 57,101.10 × 10,365.40
  4. Step 4: Simplify right side
    38,067.40x = 591,875,741.94
  5. Step 5: Solve for x
    x = 591,875,741.94/38,067.40
  6. Step 6: Final answer
    x = 15,548.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.