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Finding the Fourth Proportional to 49,959.30, 74,932.11 and 16,678.61

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Solution

The fourth proportional to 49,959.30, 74,932.11 and 16,678.61 is: 25,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,959.30 : 74,932.11 = 16,678.61 : x
  2. Step 2: Convert to fraction form
    49,959.30/74,932.11 = 16,678.61/x
  3. Step 3: Cross multiply
    49,959.30x = 74,932.11 × 16,678.61
  4. Step 4: Simplify right side
    49,959.30x = 1,249,763,064.51
  5. Step 5: Solve for x
    x = 1,249,763,064.51/49,959.30
  6. Step 6: Final answer
    x = 25,015.62

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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.