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Finding the Fourth Proportional to 109,698.71, 164,579.06 and 30,813.62

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Solution

The fourth proportional to 109,698.71, 164,579.06 and 30,813.62 is: 46,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,698.71 : 164,579.06 = 30,813.62 : x
  2. Step 2: Convert to fraction form
    109,698.71/164,579.06 = 30,813.62/x
  3. Step 3: Cross multiply
    109,698.71x = 164,579.06 × 30,813.62
  4. Step 4: Simplify right side
    109,698.71x = 5,071,276,872.18
  5. Step 5: Solve for x
    x = 5,071,276,872.18/109,698.71
  6. Step 6: Final answer
    x = 46,229.14

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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.