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Finding the Fourth Proportional to 55,214.60, 76,198 and 31,019.84

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Solution

The fourth proportional to 55,214.60, 76,198 and 31,019.84 is: 42,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,214.60 : 76,198 = 31,019.84 : x
  2. Step 2: Convert to fraction form
    55,214.60/76,198 = 31,019.84/x
  3. Step 3: Cross multiply
    55,214.60x = 76,198 × 31,019.84
  4. Step 4: Simplify right side
    55,214.60x = 2,363,649,768.32
  5. Step 5: Solve for x
    x = 2,363,649,768.32/55,214.60
  6. Step 6: Final answer
    x = 42,808.42

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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.