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Finding the Fourth Proportional to 36,978.41, 55,467.10 and 34,614.40

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Solution

The fourth proportional to 36,978.41, 55,467.10 and 34,614.40 is: 51,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.41 : 55,467.10 = 34,614.40 : x
  2. Step 2: Convert to fraction form
    36,978.41/55,467.10 = 34,614.40/x
  3. Step 3: Cross multiply
    36,978.41x = 55,467.10 × 34,614.40
  4. Step 4: Simplify right side
    36,978.41x = 1,919,960,570.19
  5. Step 5: Solve for x
    x = 1,919,960,570.19/36,978.41
  6. Step 6: Final answer
    x = 51,921.12

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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.