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Finding the Fourth Proportional to 46,375.52, 63,992.38 and 27,509

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Solution

The fourth proportional to 46,375.52, 63,992.38 and 27,509 is: 37,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,375.52 : 63,992.38 = 27,509 : x
  2. Step 2: Convert to fraction form
    46,375.52/63,992.38 = 27,509/x
  3. Step 3: Cross multiply
    46,375.52x = 63,992.38 × 27,509
  4. Step 4: Simplify right side
    46,375.52x = 1,760,366,381.42
  5. Step 5: Solve for x
    x = 1,760,366,381.42/46,375.52
  6. Step 6: Final answer
    x = 37,958.96

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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.