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Finding the Fourth Proportional to 50,862.98, 70,188.86 and 27,892.33

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Solution

The fourth proportional to 50,862.98, 70,188.86 and 27,892.33 is: 38,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,862.98 : 70,188.86 = 27,892.33 : x
  2. Step 2: Convert to fraction form
    50,862.98/70,188.86 = 27,892.33/x
  3. Step 3: Cross multiply
    50,862.98x = 70,188.86 × 27,892.33
  4. Step 4: Simplify right side
    50,862.98x = 1,957,730,739.70
  5. Step 5: Solve for x
    x = 1,957,730,739.70/50,862.98
  6. Step 6: Final answer
    x = 38,490.29

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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.