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Finding the Fourth Proportional to 69,806.33, 104,669.82 and 47,646.53

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Solution

The fourth proportional to 69,806.33, 104,669.82 and 47,646.53 is: 71,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,806.33 : 104,669.82 = 47,646.53 : x
  2. Step 2: Convert to fraction form
    69,806.33/104,669.82 = 47,646.53/x
  3. Step 3: Cross multiply
    69,806.33x = 104,669.82 × 47,646.53
  4. Step 4: Simplify right side
    69,806.33x = 4,987,153,195.38
  5. Step 5: Solve for x
    x = 4,987,153,195.38/69,806.33
  6. Step 6: Final answer
    x = 71,442.71

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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.