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Finding the Fourth Proportional to 109,807.65, 164,729.70 and 43,249.95

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Solution

The fourth proportional to 109,807.65, 164,729.70 and 43,249.95 is: 64,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,807.65 : 164,729.70 = 43,249.95 : x
  2. Step 2: Convert to fraction form
    109,807.65/164,729.70 = 43,249.95/x
  3. Step 3: Cross multiply
    109,807.65x = 164,729.70 × 43,249.95
  4. Step 4: Simplify right side
    109,807.65x = 7,124,551,288.52
  5. Step 5: Solve for x
    x = 7,124,551,288.52/109,807.65
  6. Step 6: Final answer
    x = 64,882.10

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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.