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Finding the Fourth Proportional to 49,502, 68,284.82 and 29,339.08

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Solution

The fourth proportional to 49,502, 68,284.82 and 29,339.08 is: 40,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,502 : 68,284.82 = 29,339.08 : x
  2. Step 2: Convert to fraction form
    49,502/68,284.82 = 29,339.08/x
  3. Step 3: Cross multiply
    49,502x = 68,284.82 × 29,339.08
  4. Step 4: Simplify right side
    49,502x = 2,003,413,796.77
  5. Step 5: Solve for x
    x = 2,003,413,796.77/49,502
  6. Step 6: Final answer
    x = 40,471.37

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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.