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Finding the Fourth Proportional to 82,758.90, 114,207.08 and 45,033.14

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Solution

The fourth proportional to 82,758.90, 114,207.08 and 45,033.14 is: 62,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,758.90 : 114,207.08 = 45,033.14 : x
  2. Step 2: Convert to fraction form
    82,758.90/114,207.08 = 45,033.14/x
  3. Step 3: Cross multiply
    82,758.90x = 114,207.08 × 45,033.14
  4. Step 4: Simplify right side
    82,758.90x = 5,143,103,422.63
  5. Step 5: Solve for x
    x = 5,143,103,422.63/82,758.90
  6. Step 6: Final answer
    x = 62,145.62

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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.