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Finding the Fourth Proportional to 24,731.40, 37,102.29 and 8,090.15

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Solution

The fourth proportional to 24,731.40, 37,102.29 and 8,090.15 is: 12,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.40 : 37,102.29 = 8,090.15 : x
  2. Step 2: Convert to fraction form
    24,731.40/37,102.29 = 8,090.15/x
  3. Step 3: Cross multiply
    24,731.40x = 37,102.29 × 8,090.15
  4. Step 4: Simplify right side
    24,731.40x = 300,162,905.93
  5. Step 5: Solve for x
    x = 300,162,905.93/24,731.40
  6. Step 6: Final answer
    x = 12,136.92

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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.