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Finding the Fourth Proportional to 37,471.82, 56,213.19 and 12,507.21

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Solution

The fourth proportional to 37,471.82, 56,213.19 and 12,507.21 is: 18,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,471.82 : 56,213.19 = 12,507.21 : x
  2. Step 2: Convert to fraction form
    37,471.82/56,213.19 = 12,507.21/x
  3. Step 3: Cross multiply
    37,471.82x = 56,213.19 × 12,507.21
  4. Step 4: Simplify right side
    37,471.82x = 703,070,172.10
  5. Step 5: Solve for x
    x = 703,070,172.10/37,471.82
  6. Step 6: Final answer
    x = 18,762.64

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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.