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Finding the Fourth Proportional to 73,466.47, 110,200.92 and 31,913.47

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Solution

The fourth proportional to 73,466.47, 110,200.92 and 31,913.47 is: 47,870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,466.47 : 110,200.92 = 31,913.47 : x
  2. Step 2: Convert to fraction form
    73,466.47/110,200.92 = 31,913.47/x
  3. Step 3: Cross multiply
    73,466.47x = 110,200.92 × 31,913.47
  4. Step 4: Simplify right side
    73,466.47x = 3,516,893,754.39
  5. Step 5: Solve for x
    x = 3,516,893,754.39/73,466.47
  6. Step 6: Final answer
    x = 47,870.73

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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.