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Finding the Fourth Proportional to 82,012.77, 123,019.02 and 63,319.95

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Solution

The fourth proportional to 82,012.77, 123,019.02 and 63,319.95 is: 94,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,012.77 : 123,019.02 = 63,319.95 : x
  2. Step 2: Convert to fraction form
    82,012.77/123,019.02 = 63,319.95/x
  3. Step 3: Cross multiply
    82,012.77x = 123,019.02 × 63,319.95
  4. Step 4: Simplify right side
    82,012.77x = 7,789,558,195.45
  5. Step 5: Solve for x
    x = 7,789,558,195.45/82,012.77
  6. Step 6: Final answer
    x = 94,979.82

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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.