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Finding the Fourth Proportional to 49,672.40, 74,532.90 and 37,822.10

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Solution

The fourth proportional to 49,672.40, 74,532.90 and 37,822.10 is: 56,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,672.40 : 74,532.90 = 37,822.10 : x
  2. Step 2: Convert to fraction form
    49,672.40/74,532.90 = 37,822.10/x
  3. Step 3: Cross multiply
    49,672.40x = 74,532.90 × 37,822.10
  4. Step 4: Simplify right side
    49,672.40x = 2,818,990,797.09
  5. Step 5: Solve for x
    x = 2,818,990,797.09/49,672.40
  6. Step 6: Final answer
    x = 56,751.65

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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.