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Finding the Fourth Proportional to 82,767.96, 114,220.26 and 45,042.12

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Solution

The fourth proportional to 82,767.96, 114,220.26 and 45,042.12 is: 62,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,767.96 : 114,220.26 = 45,042.12 : x
  2. Step 2: Convert to fraction form
    82,767.96/114,220.26 = 45,042.12/x
  3. Step 3: Cross multiply
    82,767.96x = 114,220.26 × 45,042.12
  4. Step 4: Simplify right side
    82,767.96x = 5,144,722,657.35
  5. Step 5: Solve for x
    x = 5,144,722,657.35/82,767.96
  6. Step 6: Final answer
    x = 62,158.38

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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.