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Finding the Fourth Proportional to 82,792.75, 114,254.01 and 45,067

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Solution

The fourth proportional to 82,792.75, 114,254.01 and 45,067 is: 62,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,792.75 : 114,254.01 = 45,067 : x
  2. Step 2: Convert to fraction form
    82,792.75/114,254.01 = 45,067/x
  3. Step 3: Cross multiply
    82,792.75x = 114,254.01 × 45,067
  4. Step 4: Simplify right side
    82,792.75x = 5,149,085,468.67
  5. Step 5: Solve for x
    x = 5,149,085,468.67/82,792.75
  6. Step 6: Final answer
    x = 62,192.47

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1.5x scale

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.