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Finding the Fourth Proportional to 82,758.50, 114,207.28 and 45,033.02

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Solution

The fourth proportional to 82,758.50, 114,207.28 and 45,033.02 is: 62,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,758.50 : 114,207.28 = 45,033.02 : x
  2. Step 2: Convert to fraction form
    82,758.50/114,207.28 = 45,033.02/x
  3. Step 3: Cross multiply
    82,758.50x = 114,207.28 × 45,033.02
  4. Step 4: Simplify right side
    82,758.50x = 5,143,098,724.39
  5. Step 5: Solve for x
    x = 5,143,098,724.39/82,758.50
  6. Step 6: Final answer
    x = 62,145.87

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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.