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Finding the Fourth Proportional to 24,731.76, 37,096.48 and 8,089.61

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Solution

The fourth proportional to 24,731.76, 37,096.48 and 8,089.61 is: 12,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.76 : 37,096.48 = 8,089.61 : x
  2. Step 2: Convert to fraction form
    24,731.76/37,096.48 = 8,089.61/x
  3. Step 3: Cross multiply
    24,731.76x = 37,096.48 × 8,089.61
  4. Step 4: Simplify right side
    24,731.76x = 300,095,880.20
  5. Step 5: Solve for x
    x = 300,095,880.20/24,731.76
  6. Step 6: Final answer
    x = 12,134.03

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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.