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Finding the Fourth Proportional to 46,310.24, 63,879.36 and 27,434

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Solution

The fourth proportional to 46,310.24, 63,879.36 and 27,434 is: 37,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,310.24 : 63,879.36 = 27,434 : x
  2. Step 2: Convert to fraction form
    46,310.24/63,879.36 = 27,434/x
  3. Step 3: Cross multiply
    46,310.24x = 63,879.36 × 27,434
  4. Step 4: Simplify right side
    46,310.24x = 1,752,466,362.24
  5. Step 5: Solve for x
    x = 1,752,466,362.24/46,310.24
  6. Step 6: Final answer
    x = 37,841.88

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