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Finding the Fourth Proportional to 83,894.33, 115,774.13 and 46,168.58

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Solution

The fourth proportional to 83,894.33, 115,774.13 and 46,168.58 is: 63,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,894.33 : 115,774.13 = 46,168.58 : x
  2. Step 2: Convert to fraction form
    83,894.33/115,774.13 = 46,168.58/x
  3. Step 3: Cross multiply
    83,894.33x = 115,774.13 × 46,168.58
  4. Step 4: Simplify right side
    83,894.33x = 5,345,126,719.39
  5. Step 5: Solve for x
    x = 5,345,126,719.39/83,894.33
  6. Step 6: Final answer
    x = 63,712.61

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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.