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Finding the Fourth Proportional to 82,023.88, 122,875.98 and 51,945.88

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Solution

The fourth proportional to 82,023.88, 122,875.98 and 51,945.88 is: 77,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,023.88 : 122,875.98 = 51,945.88 : x
  2. Step 2: Convert to fraction form
    82,023.88/122,875.98 = 51,945.88/x
  3. Step 3: Cross multiply
    82,023.88x = 122,875.98 × 51,945.88
  4. Step 4: Simplify right side
    82,023.88x = 6,382,900,911.96
  5. Step 5: Solve for x
    x = 6,382,900,911.96/82,023.88
  6. Step 6: Final answer
    x = 77,817.59

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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.