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Finding the Fourth Proportional to 37,543, 56,255.20 and 30,488.68

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Solution

The fourth proportional to 37,543, 56,255.20 and 30,488.68 is: 45,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,543 : 56,255.20 = 30,488.68 : x
  2. Step 2: Convert to fraction form
    37,543/56,255.20 = 30,488.68/x
  3. Step 3: Cross multiply
    37,543x = 56,255.20 × 30,488.68
  4. Step 4: Simplify right side
    37,543x = 1,715,146,791.14
  5. Step 5: Solve for x
    x = 1,715,146,791.14/37,543
  6. Step 6: Final answer
    x = 45,684.86

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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.