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Finding the Fourth Proportional to 55,447.40, 83,214.78 and 25,850

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Solution

The fourth proportional to 55,447.40, 83,214.78 and 25,850 is: 38,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,447.40 : 83,214.78 = 25,850 : x
  2. Step 2: Convert to fraction form
    55,447.40/83,214.78 = 25,850/x
  3. Step 3: Cross multiply
    55,447.40x = 83,214.78 × 25,850
  4. Step 4: Simplify right side
    55,447.40x = 2,151,102,063
  5. Step 5: Solve for x
    x = 2,151,102,063/55,447.40
  6. Step 6: Final answer
    x = 38,795.36

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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.