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Finding the Fourth Proportional to 46,510.46, 64,161.87 and 27,634.22

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Solution

The fourth proportional to 46,510.46, 64,161.87 and 27,634.22 is: 38,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,510.46 : 64,161.87 = 27,634.22 : x
  2. Step 2: Convert to fraction form
    46,510.46/64,161.87 = 27,634.22/x
  3. Step 3: Cross multiply
    46,510.46x = 64,161.87 × 27,634.22
  4. Step 4: Simplify right side
    46,510.46x = 1,773,062,910.38
  5. Step 5: Solve for x
    x = 1,773,062,910.38/46,510.46
  6. Step 6: Final answer
    x = 38,121.81

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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.