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Finding the Fourth Proportional to 37,443, 56,207.70 and 19,013.88

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Solution

The fourth proportional to 37,443, 56,207.70 and 19,013.88 is: 28,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,443 : 56,207.70 = 19,013.88 : x
  2. Step 2: Convert to fraction form
    37,443/56,207.70 = 19,013.88/x
  3. Step 3: Cross multiply
    37,443x = 56,207.70 × 19,013.88
  4. Step 4: Simplify right side
    37,443x = 1,068,726,462.88
  5. Step 5: Solve for x
    x = 1,068,726,462.88/37,443
  6. Step 6: Final answer
    x = 28,542.76

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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.