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Finding the Fourth Proportional to 48,469.87, 66,898.01 and 31,450.22

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Solution

The fourth proportional to 48,469.87, 66,898.01 and 31,450.22 is: 43,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,469.87 : 66,898.01 = 31,450.22 : x
  2. Step 2: Convert to fraction form
    48,469.87/66,898.01 = 31,450.22/x
  3. Step 3: Cross multiply
    48,469.87x = 66,898.01 × 31,450.22
  4. Step 4: Simplify right side
    48,469.87x = 2,103,957,547.59
  5. Step 5: Solve for x
    x = 2,103,957,547.59/48,469.87
  6. Step 6: Final answer
    x = 43,407.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.