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Finding the Fourth Proportional to 46,929.78, 70,218 and 32,917.14

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Solution

The fourth proportional to 46,929.78, 70,218 and 32,917.14 is: 49,251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,929.78 : 70,218 = 32,917.14 : x
  2. Step 2: Convert to fraction form
    46,929.78/70,218 = 32,917.14/x
  3. Step 3: Cross multiply
    46,929.78x = 70,218 × 32,917.14
  4. Step 4: Simplify right side
    46,929.78x = 2,311,375,736.52
  5. Step 5: Solve for x
    x = 2,311,375,736.52/46,929.78
  6. Step 6: Final answer
    x = 49,251.79

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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.