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Finding the Fourth Proportional to 49,632, 74,448.54 and 12,696

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Solution

The fourth proportional to 49,632, 74,448.54 and 12,696 is: 19,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,632 : 74,448.54 = 12,696 : x
  2. Step 2: Convert to fraction form
    49,632/74,448.54 = 12,696/x
  3. Step 3: Cross multiply
    49,632x = 74,448.54 × 12,696
  4. Step 4: Simplify right side
    49,632x = 945,198,663.84
  5. Step 5: Solve for x
    x = 945,198,663.84/49,632
  6. Step 6: Final answer
    x = 19,044.14

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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.