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Finding the Fourth Proportional to 85,566, 118,078.26 and 47,324.94

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Solution

The fourth proportional to 85,566, 118,078.26 and 47,324.94 is: 65,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,566 : 118,078.26 = 47,324.94 : x
  2. Step 2: Convert to fraction form
    85,566/118,078.26 = 47,324.94/x
  3. Step 3: Cross multiply
    85,566x = 118,078.26 × 47,324.94
  4. Step 4: Simplify right side
    85,566x = 5,588,046,569.80
  5. Step 5: Solve for x
    x = 5,588,046,569.80/85,566
  6. Step 6: Final answer
    x = 65,306.86

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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.