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Finding the Fourth Proportional to 82,817.52, 114,288.44 and 45,092

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Solution

The fourth proportional to 82,817.52, 114,288.44 and 45,092 is: 62,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,817.52 : 114,288.44 = 45,092 : x
  2. Step 2: Convert to fraction form
    82,817.52/114,288.44 = 45,092/x
  3. Step 3: Cross multiply
    82,817.52x = 114,288.44 × 45,092
  4. Step 4: Simplify right side
    82,817.52x = 5,153,494,336.48
  5. Step 5: Solve for x
    x = 5,153,494,336.48/82,817.52
  6. Step 6: Final answer
    x = 62,227.10

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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.