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Finding the Fourth Proportional to 73,543.20, 110,314.80 and 51,424.80

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Solution

The fourth proportional to 73,543.20, 110,314.80 and 51,424.80 is: 77,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,543.20 : 110,314.80 = 51,424.80 : x
  2. Step 2: Convert to fraction form
    73,543.20/110,314.80 = 51,424.80/x
  3. Step 3: Cross multiply
    73,543.20x = 110,314.80 × 51,424.80
  4. Step 4: Simplify right side
    73,543.20x = 5,672,916,527.04
  5. Step 5: Solve for x
    x = 5,672,916,527.04/73,543.20
  6. Step 6: Final answer
    x = 77,137.20

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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.