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Finding the Fourth Proportional to 82,693.04, 123,883.04 and 48,857.87

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Solution

The fourth proportional to 82,693.04, 123,883.04 and 48,857.87 is: 73,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,693.04 : 123,883.04 = 48,857.87 : x
  2. Step 2: Convert to fraction form
    82,693.04/123,883.04 = 48,857.87/x
  3. Step 3: Cross multiply
    82,693.04x = 123,883.04 × 48,857.87
  4. Step 4: Simplify right side
    82,693.04x = 6,052,661,463.52
  5. Step 5: Solve for x
    x = 6,052,661,463.52/82,693.04
  6. Step 6: Final answer
    x = 73,194.33

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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.