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Finding the Fourth Proportional to 74,834.92, 103,272.74 and 40,843.64

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Solution

The fourth proportional to 74,834.92, 103,272.74 and 40,843.64 is: 56,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,834.92 : 103,272.74 = 40,843.64 : x
  2. Step 2: Convert to fraction form
    74,834.92/103,272.74 = 40,843.64/x
  3. Step 3: Cross multiply
    74,834.92x = 103,272.74 × 40,843.64
  4. Step 4: Simplify right side
    74,834.92x = 4,218,034,614.37
  5. Step 5: Solve for x
    x = 4,218,034,614.37/74,834.92
  6. Step 6: Final answer
    x = 56,364.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.