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Finding the Fourth Proportional to 82,053.51, 123,117.17 and 50,511.50

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Solution

The fourth proportional to 82,053.51, 123,117.17 and 50,511.50 is: 75,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,053.51 : 123,117.17 = 50,511.50 : x
  2. Step 2: Convert to fraction form
    82,053.51/123,117.17 = 50,511.50/x
  3. Step 3: Cross multiply
    82,053.51x = 123,117.17 × 50,511.50
  4. Step 4: Simplify right side
    82,053.51x = 6,218,832,526.00
  5. Step 5: Solve for x
    x = 6,218,832,526.00/82,053.51
  6. Step 6: Final answer
    x = 75,789.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.