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Finding the Fourth Proportional to 73,527.32, 110,257.97 and 20,924.30

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Solution

The fourth proportional to 73,527.32, 110,257.97 and 20,924.30 is: 31,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,527.32 : 110,257.97 = 20,924.30 : x
  2. Step 2: Convert to fraction form
    73,527.32/110,257.97 = 20,924.30/x
  3. Step 3: Cross multiply
    73,527.32x = 110,257.97 × 20,924.30
  4. Step 4: Simplify right side
    73,527.32x = 2,307,070,185.76
  5. Step 5: Solve for x
    x = 2,307,070,185.76/73,527.32
  6. Step 6: Final answer
    x = 31,377.05

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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.