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Finding the Fourth Proportional to 84,472.34, 116,584.91 and 48,173.86

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Solution

The fourth proportional to 84,472.34, 116,584.91 and 48,173.86 is: 66,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,472.34 : 116,584.91 = 48,173.86 : x
  2. Step 2: Convert to fraction form
    84,472.34/116,584.91 = 48,173.86/x
  3. Step 3: Cross multiply
    84,472.34x = 116,584.91 × 48,173.86
  4. Step 4: Simplify right side
    84,472.34x = 5,616,345,252.89
  5. Step 5: Solve for x
    x = 5,616,345,252.89/84,472.34
  6. Step 6: Final answer
    x = 66,487.39

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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.