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Finding the Fourth Proportional to 73,823.40, 110,720.70 and 23,891.40

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Solution

The fourth proportional to 73,823.40, 110,720.70 and 23,891.40 is: 35,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,823.40 : 110,720.70 = 23,891.40 : x
  2. Step 2: Convert to fraction form
    73,823.40/110,720.70 = 23,891.40/x
  3. Step 3: Cross multiply
    73,823.40x = 110,720.70 × 23,891.40
  4. Step 4: Simplify right side
    73,823.40x = 2,645,272,531.98
  5. Step 5: Solve for x
    x = 2,645,272,531.98/73,823.40
  6. Step 6: Final answer
    x = 35,832.44

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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.