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Finding the Fourth Proportional to 37,294.76, 55,978.86 and 31,094.48

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Solution

The fourth proportional to 37,294.76, 55,978.86 and 31,094.48 is: 46,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,294.76 : 55,978.86 = 31,094.48 : x
  2. Step 2: Convert to fraction form
    37,294.76/55,978.86 = 31,094.48/x
  3. Step 3: Cross multiply
    37,294.76x = 55,978.86 × 31,094.48
  4. Step 4: Simplify right side
    37,294.76x = 1,740,633,542.69
  5. Step 5: Solve for x
    x = 1,740,633,542.69/37,294.76
  6. Step 6: Final answer
    x = 46,672.34

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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.