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Finding the Fourth Proportional to 55,071.50, 75,998.68 and 29,921

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Solution

The fourth proportional to 55,071.50, 75,998.68 and 29,921 is: 41,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,071.50 : 75,998.68 = 29,921 : x
  2. Step 2: Convert to fraction form
    55,071.50/75,998.68 = 29,921/x
  3. Step 3: Cross multiply
    55,071.50x = 75,998.68 × 29,921
  4. Step 4: Simplify right side
    55,071.50x = 2,273,956,504.28
  5. Step 5: Solve for x
    x = 2,273,956,504.28/55,071.50
  6. Step 6: Final answer
    x = 41,290.99

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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.