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Finding the Fourth Proportional to 82,123.16, 123,184.74 and 19,793.66

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Solution

The fourth proportional to 82,123.16, 123,184.74 and 19,793.66 is: 29,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,123.16 : 123,184.74 = 19,793.66 : x
  2. Step 2: Convert to fraction form
    82,123.16/123,184.74 = 19,793.66/x
  3. Step 3: Cross multiply
    82,123.16x = 123,184.74 × 19,793.66
  4. Step 4: Simplify right side
    82,123.16x = 2,438,276,860.75
  5. Step 5: Solve for x
    x = 2,438,276,860.75/82,123.16
  6. Step 6: Final answer
    x = 29,690.49

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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.