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Finding the Fourth Proportional to 83,186.46, 114,797.38 and 45,460.72

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Solution

The fourth proportional to 83,186.46, 114,797.38 and 45,460.72 is: 62,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,186.46 : 114,797.38 = 45,460.72 : x
  2. Step 2: Convert to fraction form
    83,186.46/114,797.38 = 45,460.72/x
  3. Step 3: Cross multiply
    83,186.46x = 114,797.38 × 45,460.72
  4. Step 4: Simplify right side
    83,186.46x = 5,218,771,548.91
  5. Step 5: Solve for x
    x = 5,218,771,548.91/83,186.46
  6. Step 6: Final answer
    x = 62,735.83

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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.