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Finding the Fourth Proportional to 83,147.66, 114,742.04 and 46,850.97

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Solution

The fourth proportional to 83,147.66, 114,742.04 and 46,850.97 is: 64,653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,147.66 : 114,742.04 = 46,850.97 : x
  2. Step 2: Convert to fraction form
    83,147.66/114,742.04 = 46,850.97/x
  3. Step 3: Cross multiply
    83,147.66x = 114,742.04 × 46,850.97
  4. Step 4: Simplify right side
    83,147.66x = 5,375,775,639.52
  5. Step 5: Solve for x
    x = 5,375,775,639.52/83,147.66
  6. Step 6: Final answer
    x = 64,653.36

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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.