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Finding the Fourth Proportional to 47,162, 65,050.26 and 40,039.40

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Solution

The fourth proportional to 47,162, 65,050.26 and 40,039.40 is: 55,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,162 : 65,050.26 = 40,039.40 : x
  2. Step 2: Convert to fraction form
    47,162/65,050.26 = 40,039.40/x
  3. Step 3: Cross multiply
    47,162x = 65,050.26 × 40,039.40
  4. Step 4: Simplify right side
    47,162x = 2,604,573,380.24
  5. Step 5: Solve for x
    x = 2,604,573,380.24/47,162
  6. Step 6: Final answer
    x = 55,226.10

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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.