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Finding the Fourth Proportional to 46,170.88, 63,737.12 and 27,048

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Solution

The fourth proportional to 46,170.88, 63,737.12 and 27,048 is: 37,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,170.88 : 63,737.12 = 27,048 : x
  2. Step 2: Convert to fraction form
    46,170.88/63,737.12 = 27,048/x
  3. Step 3: Cross multiply
    46,170.88x = 63,737.12 × 27,048
  4. Step 4: Simplify right side
    46,170.88x = 1,723,961,621.76
  5. Step 5: Solve for x
    x = 1,723,961,621.76/46,170.88
  6. Step 6: Final answer
    x = 37,338.72

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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.