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Finding the Fourth Proportional to 84,894.33, 117,154.20 and 47,168.58

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Solution

The fourth proportional to 84,894.33, 117,154.20 and 47,168.58 is: 65,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,894.33 : 117,154.20 = 47,168.58 : x
  2. Step 2: Convert to fraction form
    84,894.33/117,154.20 = 47,168.58/x
  3. Step 3: Cross multiply
    84,894.33x = 117,154.20 × 47,168.58
  4. Step 4: Simplify right side
    84,894.33x = 5,525,996,946.93
  5. Step 5: Solve for x
    x = 5,525,996,946.93/84,894.33
  6. Step 6: Final answer
    x = 65,092.65

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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.