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Finding the Fourth Proportional to 83,064.38, 114,616.44 and 46,760.58

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Solution

The fourth proportional to 83,064.38, 114,616.44 and 46,760.58 is: 64,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,064.38 : 114,616.44 = 46,760.58 : x
  2. Step 2: Convert to fraction form
    83,064.38/114,616.44 = 46,760.58/x
  3. Step 3: Cross multiply
    83,064.38x = 114,616.44 × 46,760.58
  4. Step 4: Simplify right side
    83,064.38x = 5,359,531,211.94
  5. Step 5: Solve for x
    x = 5,359,531,211.94/83,064.38
  6. Step 6: Final answer
    x = 64,522.62

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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.