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Finding the Fourth Proportional to 54,854.16, 82,264.22 and 19,789.24

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Solution

The fourth proportional to 54,854.16, 82,264.22 and 19,789.24 is: 29,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,854.16 : 82,264.22 = 19,789.24 : x
  2. Step 2: Convert to fraction form
    54,854.16/82,264.22 = 19,789.24/x
  3. Step 3: Cross multiply
    54,854.16x = 82,264.22 × 19,789.24
  4. Step 4: Simplify right side
    54,854.16x = 1,627,946,392.99
  5. Step 5: Solve for x
    x = 1,627,946,392.99/54,854.16
  6. Step 6: Final answer
    x = 29,677.72

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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.