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Finding the Fourth Proportional to 69,977.36, 105,006.69 and 29,447.89

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Solution

The fourth proportional to 69,977.36, 105,006.69 and 29,447.89 is: 44,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,977.36 : 105,006.69 = 29,447.89 : x
  2. Step 2: Convert to fraction form
    69,977.36/105,006.69 = 29,447.89/x
  3. Step 3: Cross multiply
    69,977.36x = 105,006.69 × 29,447.89
  4. Step 4: Simplify right side
    69,977.36x = 3,092,225,456.38
  5. Step 5: Solve for x
    x = 3,092,225,456.38/69,977.36
  6. Step 6: Final answer
    x = 44,188.94

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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.