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Finding the Fourth Proportional to 49,566, 74,349 and 31,110.96

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Solution

The fourth proportional to 49,566, 74,349 and 31,110.96 is: 46,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,566 : 74,349 = 31,110.96 : x
  2. Step 2: Convert to fraction form
    49,566/74,349 = 31,110.96/x
  3. Step 3: Cross multiply
    49,566x = 74,349 × 31,110.96
  4. Step 4: Simplify right side
    49,566x = 2,313,068,765.04
  5. Step 5: Solve for x
    x = 2,313,068,765.04/49,566
  6. Step 6: Final answer
    x = 46,666.44

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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.