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Finding the Fourth Proportional to 83,894.01, 115,773.66 and 46,168.26

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Solution

The fourth proportional to 83,894.01, 115,773.66 and 46,168.26 is: 63,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,894.01 : 115,773.66 = 46,168.26 : x
  2. Step 2: Convert to fraction form
    83,894.01/115,773.66 = 46,168.26/x
  3. Step 3: Cross multiply
    83,894.01x = 115,773.66 × 46,168.26
  4. Step 4: Simplify right side
    83,894.01x = 5,345,068,436.03
  5. Step 5: Solve for x
    x = 5,345,068,436.03/83,894.01
  6. Step 6: Final answer
    x = 63,712.16

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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.