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Finding the Fourth Proportional to 84,673.92, 116,823.42 and 48,859.23

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Solution

The fourth proportional to 84,673.92, 116,823.42 and 48,859.23 is: 67,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,673.92 : 116,823.42 = 48,859.23 : x
  2. Step 2: Convert to fraction form
    84,673.92/116,823.42 = 48,859.23/x
  3. Step 3: Cross multiply
    84,673.92x = 116,823.42 × 48,859.23
  4. Step 4: Simplify right side
    84,673.92x = 5,707,902,347.17
  5. Step 5: Solve for x
    x = 5,707,902,347.17/84,673.92
  6. Step 6: Final answer
    x = 67,410.39

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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.