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Finding the Fourth Proportional to 37,411.80, 56,195.46 and 29,674.68

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Solution

The fourth proportional to 37,411.80, 56,195.46 and 29,674.68 is: 44,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,411.80 : 56,195.46 = 29,674.68 : x
  2. Step 2: Convert to fraction form
    37,411.80/56,195.46 = 29,674.68/x
  3. Step 3: Cross multiply
    37,411.80x = 56,195.46 × 29,674.68
  4. Step 4: Simplify right side
    37,411.80x = 1,667,582,292.95
  5. Step 5: Solve for x
    x = 1,667,582,292.95/37,411.80
  6. Step 6: Final answer
    x = 44,573.70

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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.