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Finding the Fourth Proportional to 52,098.24, 71,895.36 and 28,224.87

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Solution

The fourth proportional to 52,098.24, 71,895.36 and 28,224.87 is: 38,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098.24 : 71,895.36 = 28,224.87 : x
  2. Step 2: Convert to fraction form
    52,098.24/71,895.36 = 28,224.87/x
  3. Step 3: Cross multiply
    52,098.24x = 71,895.36 × 28,224.87
  4. Step 4: Simplify right side
    52,098.24x = 2,029,237,189.60
  5. Step 5: Solve for x
    x = 2,029,237,189.60/52,098.24
  6. Step 6: Final answer
    x = 38,950.21

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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.