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Finding the Fourth Proportional to 82,102.50, 123,153.78 and 19,773

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Solution

The fourth proportional to 82,102.50, 123,153.78 and 19,773 is: 29,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,102.50 : 123,153.78 = 19,773 : x
  2. Step 2: Convert to fraction form
    82,102.50/123,153.78 = 19,773/x
  3. Step 3: Cross multiply
    82,102.50x = 123,153.78 × 19,773
  4. Step 4: Simplify right side
    82,102.50x = 2,435,119,691.94
  5. Step 5: Solve for x
    x = 2,435,119,691.94/82,102.50
  6. Step 6: Final answer
    x = 29,659.51

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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.