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Finding the Fourth Proportional to 51,450, 77,174.92 and 33,792.14

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Solution

The fourth proportional to 51,450, 77,174.92 and 33,792.14 is: 50,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,450 : 77,174.92 = 33,792.14 : x
  2. Step 2: Convert to fraction form
    51,450/77,174.92 = 33,792.14/x
  3. Step 3: Cross multiply
    51,450x = 77,174.92 × 33,792.14
  4. Step 4: Simplify right side
    51,450x = 2,607,905,701.13
  5. Step 5: Solve for x
    x = 2,607,905,701.13/51,450
  6. Step 6: Final answer
    x = 50,688.16

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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.