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Finding the Fourth Proportional to 37,761.76, 56,701.12 and 20,265.76

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Solution

The fourth proportional to 37,761.76, 56,701.12 and 20,265.76 is: 30,430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,761.76 : 56,701.12 = 20,265.76 : x
  2. Step 2: Convert to fraction form
    37,761.76/56,701.12 = 20,265.76/x
  3. Step 3: Cross multiply
    37,761.76x = 56,701.12 × 20,265.76
  4. Step 4: Simplify right side
    37,761.76x = 1,149,091,289.65
  5. Step 5: Solve for x
    x = 1,149,091,289.65/37,761.76
  6. Step 6: Final answer
    x = 30,430.02

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1.5x scale

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.