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Finding the Fourth Proportional to 38,055, 57,066.42 and 11,404.77

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Solution

The fourth proportional to 38,055, 57,066.42 and 11,404.77 is: 17,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,055 : 57,066.42 = 11,404.77 : x
  2. Step 2: Convert to fraction form
    38,055/57,066.42 = 11,404.77/x
  3. Step 3: Cross multiply
    38,055x = 57,066.42 × 11,404.77
  4. Step 4: Simplify right side
    38,055x = 650,829,394.82
  5. Step 5: Solve for x
    x = 650,829,394.82/38,055
  6. Step 6: Final answer
    x = 17,102.34

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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.