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Finding the Fourth Proportional to 61,107.50, 84,269.21 and 47,673.86

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Solution

The fourth proportional to 61,107.50, 84,269.21 and 47,673.86 is: 65,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,107.50 : 84,269.21 = 47,673.86 : x
  2. Step 2: Convert to fraction form
    61,107.50/84,269.21 = 47,673.86/x
  3. Step 3: Cross multiply
    61,107.50x = 84,269.21 × 47,673.86
  4. Step 4: Simplify right side
    61,107.50x = 4,017,437,860.14
  5. Step 5: Solve for x
    x = 4,017,437,860.14/61,107.50
  6. Step 6: Final answer
    x = 65,743.78

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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.