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Finding the Fourth Proportional to 82,405.80, 123,723.90 and 51,301.80

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Solution

The fourth proportional to 82,405.80, 123,723.90 and 51,301.80 is: 77,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.80 : 123,723.90 = 51,301.80 : x
  2. Step 2: Convert to fraction form
    82,405.80/123,723.90 = 51,301.80/x
  3. Step 3: Cross multiply
    82,405.80x = 123,723.90 × 51,301.80
  4. Step 4: Simplify right side
    82,405.80x = 6,347,258,773.02
  5. Step 5: Solve for x
    x = 6,347,258,773.02/82,405.80
  6. Step 6: Final answer
    x = 77,024.42

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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.