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Finding the Fourth Proportional to 83,405.94, 115,111.38 and 49,411.80

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Solution

The fourth proportional to 83,405.94, 115,111.38 and 49,411.80 is: 68,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,405.94 : 115,111.38 = 49,411.80 : x
  2. Step 2: Convert to fraction form
    83,405.94/115,111.38 = 49,411.80/x
  3. Step 3: Cross multiply
    83,405.94x = 115,111.38 × 49,411.80
  4. Step 4: Simplify right side
    83,405.94x = 5,687,860,486.28
  5. Step 5: Solve for x
    x = 5,687,860,486.28/83,405.94
  6. Step 6: Final answer
    x = 68,194.91

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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.