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Finding the Fourth Proportional to 56,193.84, 84,290.22 and 22,906.08

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Solution

The fourth proportional to 56,193.84, 84,290.22 and 22,906.08 is: 34,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,193.84 : 84,290.22 = 22,906.08 : x
  2. Step 2: Convert to fraction form
    56,193.84/84,290.22 = 22,906.08/x
  3. Step 3: Cross multiply
    56,193.84x = 84,290.22 × 22,906.08
  4. Step 4: Simplify right side
    56,193.84x = 1,930,758,522.54
  5. Step 5: Solve for x
    x = 1,930,758,522.54/56,193.84
  6. Step 6: Final answer
    x = 34,358.90

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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.