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Finding the Fourth Proportional to 69,811.58, 104,677.70 and 47,651.78

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Solution

The fourth proportional to 69,811.58, 104,677.70 and 47,651.78 is: 71,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,811.58 : 104,677.70 = 47,651.78 : x
  2. Step 2: Convert to fraction form
    69,811.58/104,677.70 = 47,651.78/x
  3. Step 3: Cross multiply
    69,811.58x = 104,677.70 × 47,651.78
  4. Step 4: Simplify right side
    69,811.58x = 4,988,077,969.66
  5. Step 5: Solve for x
    x = 4,988,077,969.66/69,811.58
  6. Step 6: Final answer
    x = 71,450.59

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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.