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Finding the Fourth Proportional to 82,578.83, 123,872.95 and 23,409.84

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Solution

The fourth proportional to 82,578.83, 123,872.95 and 23,409.84 is: 35,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,578.83 : 123,872.95 = 23,409.84 : x
  2. Step 2: Convert to fraction form
    82,578.83/123,872.95 = 23,409.84/x
  3. Step 3: Cross multiply
    82,578.83x = 123,872.95 × 23,409.84
  4. Step 4: Simplify right side
    82,578.83x = 2,899,846,301.93
  5. Step 5: Solve for x
    x = 2,899,846,301.93/82,578.83
  6. Step 6: Final answer
    x = 35,116.10

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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.