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Finding the Fourth Proportional to 37,202.90, 55,746.02 and 31,633.34

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Solution

The fourth proportional to 37,202.90, 55,746.02 and 31,633.34 is: 47,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,202.90 : 55,746.02 = 31,633.34 : x
  2. Step 2: Convert to fraction form
    37,202.90/55,746.02 = 31,633.34/x
  3. Step 3: Cross multiply
    37,202.90x = 55,746.02 × 31,633.34
  4. Step 4: Simplify right side
    37,202.90x = 1,763,432,604.66
  5. Step 5: Solve for x
    x = 1,763,432,604.66/37,202.90
  6. Step 6: Final answer
    x = 47,400.41

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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.