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Finding the Fourth Proportional to 49,462.30, 68,254.74 and 31,555.38

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Solution

The fourth proportional to 49,462.30, 68,254.74 and 31,555.38 is: 43,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,462.30 : 68,254.74 = 31,555.38 : x
  2. Step 2: Convert to fraction form
    49,462.30/68,254.74 = 31,555.38/x
  3. Step 3: Cross multiply
    49,462.30x = 68,254.74 × 31,555.38
  4. Step 4: Simplify right side
    49,462.30x = 2,153,804,257.50
  5. Step 5: Solve for x
    x = 2,153,804,257.50/49,462.30
  6. Step 6: Final answer
    x = 43,544.37

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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.