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Finding the Fourth Proportional to 35,201.39, 48,565.78 and 20,083.14

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Solution

The fourth proportional to 35,201.39, 48,565.78 and 20,083.14 is: 27,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,201.39 : 48,565.78 = 20,083.14 : x
  2. Step 2: Convert to fraction form
    35,201.39/48,565.78 = 20,083.14/x
  3. Step 3: Cross multiply
    35,201.39x = 48,565.78 × 20,083.14
  4. Step 4: Simplify right side
    35,201.39x = 975,353,308.74
  5. Step 5: Solve for x
    x = 975,353,308.74/35,201.39
  6. Step 6: Final answer
    x = 27,707.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.