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Finding the Fourth Proportional to 73,813.28, 110,627.13 and 31,643.47

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Solution

The fourth proportional to 73,813.28, 110,627.13 and 31,643.47 is: 47,425.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,813.28 : 110,627.13 = 31,643.47 : x
  2. Step 2: Convert to fraction form
    73,813.28/110,627.13 = 31,643.47/x
  3. Step 3: Cross multiply
    73,813.28x = 110,627.13 × 31,643.47
  4. Step 4: Simplify right side
    73,813.28x = 3,500,626,269.34
  5. Step 5: Solve for x
    x = 3,500,626,269.34/73,813.28
  6. Step 6: Final answer
    x = 47,425.43

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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.