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Finding the Fourth Proportional to 52,092.24, 71,886.64 and 28,218.32

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Solution

The fourth proportional to 52,092.24, 71,886.64 and 28,218.32 is: 38,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,092.24 : 71,886.64 = 28,218.32 : x
  2. Step 2: Convert to fraction form
    52,092.24/71,886.64 = 28,218.32/x
  3. Step 3: Cross multiply
    52,092.24x = 71,886.64 × 28,218.32
  4. Step 4: Simplify right side
    52,092.24x = 2,028,520,211.24
  5. Step 5: Solve for x
    x = 2,028,520,211.24/52,092.24
  6. Step 6: Final answer
    x = 38,940.93

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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.