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Finding the Fourth Proportional to 37,640.79, 56,132.28 and 32,982.48

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Solution

The fourth proportional to 37,640.79, 56,132.28 and 32,982.48 is: 49,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,640.79 : 56,132.28 = 32,982.48 : x
  2. Step 2: Convert to fraction form
    37,640.79/56,132.28 = 32,982.48/x
  3. Step 3: Cross multiply
    37,640.79x = 56,132.28 × 32,982.48
  4. Step 4: Simplify right side
    37,640.79x = 1,851,381,802.45
  5. Step 5: Solve for x
    x = 1,851,381,802.45/37,640.79
  6. Step 6: Final answer
    x = 49,185.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.