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Finding the Fourth Proportional to 81,754.32, 122,605.56 and 34,994.64

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Solution

The fourth proportional to 81,754.32, 122,605.56 and 34,994.64 is: 52,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,754.32 : 122,605.56 = 34,994.64 : x
  2. Step 2: Convert to fraction form
    81,754.32/122,605.56 = 34,994.64/x
  3. Step 3: Cross multiply
    81,754.32x = 122,605.56 × 34,994.64
  4. Step 4: Simplify right side
    81,754.32x = 4,290,537,434.20
  5. Step 5: Solve for x
    x = 4,290,537,434.20/81,754.32
  6. Step 6: Final answer
    x = 52,480.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.