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Finding the Fourth Proportional to 109,482.88, 164,228.37 and 49,499.95

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Solution

The fourth proportional to 109,482.88, 164,228.37 and 49,499.95 is: 74,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,482.88 : 164,228.37 = 49,499.95 : x
  2. Step 2: Convert to fraction form
    109,482.88/164,228.37 = 49,499.95/x
  3. Step 3: Cross multiply
    109,482.88x = 164,228.37 × 49,499.95
  4. Step 4: Simplify right side
    109,482.88x = 8,129,296,103.58
  5. Step 5: Solve for x
    x = 8,129,296,103.58/109,482.88
  6. Step 6: Final answer
    x = 74,251.76

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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.