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Finding the Fourth Proportional to 37,498.50, 51,749.01 and 20,732.58

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Solution

The fourth proportional to 37,498.50, 51,749.01 and 20,732.58 is: 28,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,498.50 : 51,749.01 = 20,732.58 : x
  2. Step 2: Convert to fraction form
    37,498.50/51,749.01 = 20,732.58/x
  3. Step 3: Cross multiply
    37,498.50x = 51,749.01 × 20,732.58
  4. Step 4: Simplify right side
    37,498.50x = 1,072,890,489.75
  5. Step 5: Solve for x
    x = 1,072,890,489.75/37,498.50
  6. Step 6: Final answer
    x = 28,611.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.