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Finding the Fourth Proportional to 49,585, 68,427.84 and 27,229

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Solution

The fourth proportional to 49,585, 68,427.84 and 27,229 is: 37,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,585 : 68,427.84 = 27,229 : x
  2. Step 2: Convert to fraction form
    49,585/68,427.84 = 27,229/x
  3. Step 3: Cross multiply
    49,585x = 68,427.84 × 27,229
  4. Step 4: Simplify right side
    49,585x = 1,863,221,655.36
  5. Step 5: Solve for x
    x = 1,863,221,655.36/49,585
  6. Step 6: Final answer
    x = 37,576.32

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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.