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Finding the Fourth Proportional to 73,508.25, 110,262.38 and 31,955.25

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Solution

The fourth proportional to 73,508.25, 110,262.38 and 31,955.25 is: 47,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,508.25 : 110,262.38 = 31,955.25 : x
  2. Step 2: Convert to fraction form
    73,508.25/110,262.38 = 31,955.25/x
  3. Step 3: Cross multiply
    73,508.25x = 110,262.38 × 31,955.25
  4. Step 4: Simplify right side
    73,508.25x = 3,523,461,758.72
  5. Step 5: Solve for x
    x = 3,523,461,758.72/73,508.25
  6. Step 6: Final answer
    x = 47,932.88

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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.