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Finding the Fourth Proportional to 49,608.50, 74,412.75 and 31,153.46

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Solution

The fourth proportional to 49,608.50, 74,412.75 and 31,153.46 is: 46,730.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,608.50 : 74,412.75 = 31,153.46 : x
  2. Step 2: Convert to fraction form
    49,608.50/74,412.75 = 31,153.46/x
  3. Step 3: Cross multiply
    49,608.50x = 74,412.75 × 31,153.46
  4. Step 4: Simplify right side
    49,608.50x = 2,318,214,630.62
  5. Step 5: Solve for x
    x = 2,318,214,630.62/49,608.50
  6. Step 6: Final answer
    x = 46,730.19

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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.