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Finding the Fourth Proportional to 51,480.50, 77,219.92 and 16,419.92

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Solution

The fourth proportional to 51,480.50, 77,219.92 and 16,419.92 is: 24,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,480.50 : 77,219.92 = 16,419.92 : x
  2. Step 2: Convert to fraction form
    51,480.50/77,219.92 = 16,419.92/x
  3. Step 3: Cross multiply
    51,480.50x = 77,219.92 × 16,419.92
  4. Step 4: Simplify right side
    51,480.50x = 1,267,944,908.81
  5. Step 5: Solve for x
    x = 1,267,944,908.81/51,480.50
  6. Step 6: Final answer
    x = 24,629.62

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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.