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Finding the Fourth Proportional to 83,966.78, 115,874.16 and 46,241

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Solution

The fourth proportional to 83,966.78, 115,874.16 and 46,241 is: 63,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,966.78 : 115,874.16 = 46,241 : x
  2. Step 2: Convert to fraction form
    83,966.78/115,874.16 = 46,241/x
  3. Step 3: Cross multiply
    83,966.78x = 115,874.16 × 46,241
  4. Step 4: Simplify right side
    83,966.78x = 5,358,137,032.56
  5. Step 5: Solve for x
    x = 5,358,137,032.56/83,966.78
  6. Step 6: Final answer
    x = 63,812.58

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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.