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Finding the Fourth Proportional to 71,164.52, 106,758.30 and 21,905

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Solution

The fourth proportional to 71,164.52, 106,758.30 and 21,905 is: 32,861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,164.52 : 106,758.30 = 21,905 : x
  2. Step 2: Convert to fraction form
    71,164.52/106,758.30 = 21,905/x
  3. Step 3: Cross multiply
    71,164.52x = 106,758.30 × 21,905
  4. Step 4: Simplify right side
    71,164.52x = 2,338,540,561.50
  5. Step 5: Solve for x
    x = 2,338,540,561.50/71,164.52
  6. Step 6: Final answer
    x = 32,861.05

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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.