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Finding the Fourth Proportional to 34,057.50, 46,972.72 and 22,124.70

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Solution

The fourth proportional to 34,057.50, 46,972.72 and 22,124.70 is: 30,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,057.50 : 46,972.72 = 22,124.70 : x
  2. Step 2: Convert to fraction form
    34,057.50/46,972.72 = 22,124.70/x
  3. Step 3: Cross multiply
    34,057.50x = 46,972.72 × 22,124.70
  4. Step 4: Simplify right side
    34,057.50x = 1,039,257,338.18
  5. Step 5: Solve for x
    x = 1,039,257,338.18/34,057.50
  6. Step 6: Final answer
    x = 30,514.79

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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.