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Finding the Fourth Proportional to 49,729.92, 74,599 and 21,650.92

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Solution

The fourth proportional to 49,729.92, 74,599 and 21,650.92 is: 32,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,729.92 : 74,599 = 21,650.92 : x
  2. Step 2: Convert to fraction form
    49,729.92/74,599 = 21,650.92/x
  3. Step 3: Cross multiply
    49,729.92x = 74,599 × 21,650.92
  4. Step 4: Simplify right side
    49,729.92x = 1,615,136,981.08
  5. Step 5: Solve for x
    x = 1,615,136,981.08/49,729.92
  6. Step 6: Final answer
    x = 32,478.17

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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.