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Finding the Fourth Proportional to 37,126.32, 55,737.02 and 31,894.80

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Solution

The fourth proportional to 37,126.32, 55,737.02 and 31,894.80 is: 47,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,126.32 : 55,737.02 = 31,894.80 : x
  2. Step 2: Convert to fraction form
    37,126.32/55,737.02 = 31,894.80/x
  3. Step 3: Cross multiply
    37,126.32x = 55,737.02 × 31,894.80
  4. Step 4: Simplify right side
    37,126.32x = 1,777,721,105.50
  5. Step 5: Solve for x
    x = 1,777,721,105.50/37,126.32
  6. Step 6: Final answer
    x = 47,883.04

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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.