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Finding the Fourth Proportional to 52,098.26, 71,895.33 and 28,224.99

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Solution

The fourth proportional to 52,098.26, 71,895.33 and 28,224.99 is: 38,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098.26 : 71,895.33 = 28,224.99 : x
  2. Step 2: Convert to fraction form
    52,098.26/71,895.33 = 28,224.99/x
  3. Step 3: Cross multiply
    52,098.26x = 71,895.33 × 28,224.99
  4. Step 4: Simplify right side
    52,098.26x = 2,029,244,970.30
  5. Step 5: Solve for x
    x = 2,029,244,970.30/52,098.26
  6. Step 6: Final answer
    x = 38,950.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.