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Finding the Fourth Proportional to 82,996.54, 114,545.52 and 50,724.52

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Solution

The fourth proportional to 82,996.54, 114,545.52 and 50,724.52 is: 70,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,996.54 : 114,545.52 = 50,724.52 : x
  2. Step 2: Convert to fraction form
    82,996.54/114,545.52 = 50,724.52/x
  3. Step 3: Cross multiply
    82,996.54x = 114,545.52 × 50,724.52
  4. Step 4: Simplify right side
    82,996.54x = 5,810,266,233.79
  5. Step 5: Solve for x
    x = 5,810,266,233.79/82,996.54
  6. Step 6: Final answer
    x = 70,006.13

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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.