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Finding the Fourth Proportional to 51,965.48, 71,712.42 and 28,092.16

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Solution

The fourth proportional to 51,965.48, 71,712.42 and 28,092.16 is: 38,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,965.48 : 71,712.42 = 28,092.16 : x
  2. Step 2: Convert to fraction form
    51,965.48/71,712.42 = 28,092.16/x
  3. Step 3: Cross multiply
    51,965.48x = 71,712.42 × 28,092.16
  4. Step 4: Simplify right side
    51,965.48x = 2,014,556,597.35
  5. Step 5: Solve for x
    x = 2,014,556,597.35/51,965.48
  6. Step 6: Final answer
    x = 38,767.21

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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.