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Finding the Fourth Proportional to 109,891.98, 164,830.62 and 49,906.20

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Solution

The fourth proportional to 109,891.98, 164,830.62 and 49,906.20 is: 74,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,891.98 : 164,830.62 = 49,906.20 : x
  2. Step 2: Convert to fraction form
    109,891.98/164,830.62 = 49,906.20/x
  3. Step 3: Cross multiply
    109,891.98x = 164,830.62 × 49,906.20
  4. Step 4: Simplify right side
    109,891.98x = 8,226,069,887.84
  5. Step 5: Solve for x
    x = 8,226,069,887.84/109,891.98
  6. Step 6: Final answer
    x = 74,855.96

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1.5x scale

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.