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Finding the Fourth Proportional to 48,971.40, 67,592.82 and 27,763.32

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Solution

The fourth proportional to 48,971.40, 67,592.82 and 27,763.32 is: 38,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,971.40 : 67,592.82 = 27,763.32 : x
  2. Step 2: Convert to fraction form
    48,971.40/67,592.82 = 27,763.32/x
  3. Step 3: Cross multiply
    48,971.40x = 67,592.82 × 27,763.32
  4. Step 4: Simplify right side
    48,971.40x = 1,876,601,091.36
  5. Step 5: Solve for x
    x = 1,876,601,091.36/48,971.40
  6. Step 6: Final answer
    x = 38,320.35

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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.