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Finding the Fourth Proportional to 110,977.76, 166,482.44 and 36,073.82

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Solution

The fourth proportional to 110,977.76, 166,482.44 and 36,073.82 is: 54,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,977.76 : 166,482.44 = 36,073.82 : x
  2. Step 2: Convert to fraction form
    110,977.76/166,482.44 = 36,073.82/x
  3. Step 3: Cross multiply
    110,977.76x = 166,482.44 × 36,073.82
  4. Step 4: Simplify right side
    110,977.76x = 6,005,657,573.72
  5. Step 5: Solve for x
    x = 6,005,657,573.72/110,977.76
  6. Step 6: Final answer
    x = 54,115.87

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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.