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Finding the Fourth Proportional to 73,782.40, 110,731.20 and 34,344.40

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Solution

The fourth proportional to 73,782.40, 110,731.20 and 34,344.40 is: 51,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,782.40 : 110,731.20 = 34,344.40 : x
  2. Step 2: Convert to fraction form
    73,782.40/110,731.20 = 34,344.40/x
  3. Step 3: Cross multiply
    73,782.40x = 110,731.20 × 34,344.40
  4. Step 4: Simplify right side
    73,782.40x = 3,802,996,625.28
  5. Step 5: Solve for x
    x = 3,802,996,625.28/73,782.40
  6. Step 6: Final answer
    x = 51,543.41

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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.