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Finding the Fourth Proportional to 49,920.48, 68,889.84 and 27,564

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Solution

The fourth proportional to 49,920.48, 68,889.84 and 27,564 is: 38,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,920.48 : 68,889.84 = 27,564 : x
  2. Step 2: Convert to fraction form
    49,920.48/68,889.84 = 27,564/x
  3. Step 3: Cross multiply
    49,920.48x = 68,889.84 × 27,564
  4. Step 4: Simplify right side
    49,920.48x = 1,898,879,549.76
  5. Step 5: Solve for x
    x = 1,898,879,549.76/49,920.48
  6. Step 6: Final answer
    x = 38,038.09

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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.