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Finding the Fourth Proportional to 109,470.71, 164,107.24 and 39,333.62

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Solution

The fourth proportional to 109,470.71, 164,107.24 and 39,333.62 is: 58,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,470.71 : 164,107.24 = 39,333.62 : x
  2. Step 2: Convert to fraction form
    109,470.71/164,107.24 = 39,333.62/x
  3. Step 3: Cross multiply
    109,470.71x = 164,107.24 × 39,333.62
  4. Step 4: Simplify right side
    109,470.71x = 6,454,931,316.87
  5. Step 5: Solve for x
    x = 6,454,931,316.87/109,470.71
  6. Step 6: Final answer
    x = 58,964.92

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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.