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Finding the Fourth Proportional to 29,382.30, 40,565.88 and 19,834.80

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Solution

The fourth proportional to 29,382.30, 40,565.88 and 19,834.80 is: 27,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382.30 : 40,565.88 = 19,834.80 : x
  2. Step 2: Convert to fraction form
    29,382.30/40,565.88 = 19,834.80/x
  3. Step 3: Cross multiply
    29,382.30x = 40,565.88 × 19,834.80
  4. Step 4: Simplify right side
    29,382.30x = 804,616,116.62
  5. Step 5: Solve for x
    x = 804,616,116.62/29,382.30
  6. Step 6: Final answer
    x = 27,384.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.