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Finding the Fourth Proportional to 83,104.39, 114,682.62 and 47,293.66

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Solution

The fourth proportional to 83,104.39, 114,682.62 and 47,293.66 is: 65,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,104.39 : 114,682.62 = 47,293.66 : x
  2. Step 2: Convert to fraction form
    83,104.39/114,682.62 = 47,293.66/x
  3. Step 3: Cross multiply
    83,104.39x = 114,682.62 × 47,293.66
  4. Step 4: Simplify right side
    83,104.39x = 5,423,760,838.19
  5. Step 5: Solve for x
    x = 5,423,760,838.19/83,104.39
  6. Step 6: Final answer
    x = 65,264.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.