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Finding the Fourth Proportional to 82,753.68, 114,200.10 and 45,027.93

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Solution

The fourth proportional to 82,753.68, 114,200.10 and 45,027.93 is: 62,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,753.68 : 114,200.10 = 45,027.93 : x
  2. Step 2: Convert to fraction form
    82,753.68/114,200.10 = 45,027.93/x
  3. Step 3: Cross multiply
    82,753.68x = 114,200.10 × 45,027.93
  4. Step 4: Simplify right side
    82,753.68x = 5,142,194,108.79
  5. Step 5: Solve for x
    x = 5,142,194,108.79/82,753.68
  6. Step 6: Final answer
    x = 62,138.56

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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.