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Finding the Fourth Proportional to 49,195, 73,799.70 and 15,904

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Solution

The fourth proportional to 49,195, 73,799.70 and 15,904 is: 23,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,195 : 73,799.70 = 15,904 : x
  2. Step 2: Convert to fraction form
    49,195/73,799.70 = 15,904/x
  3. Step 3: Cross multiply
    49,195x = 73,799.70 × 15,904
  4. Step 4: Simplify right side
    49,195x = 1,173,710,428.80
  5. Step 5: Solve for x
    x = 1,173,710,428.80/49,195
  6. Step 6: Final answer
    x = 23,858.33

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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.