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Finding the Fourth Proportional to 46,034.94, 69,046.41 and 21,067.74

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Solution

The fourth proportional to 46,034.94, 69,046.41 and 21,067.74 is: 31,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,034.94 : 69,046.41 = 21,067.74 : x
  2. Step 2: Convert to fraction form
    46,034.94/69,046.41 = 21,067.74/x
  3. Step 3: Cross multiply
    46,034.94x = 69,046.41 × 21,067.74
  4. Step 4: Simplify right side
    46,034.94x = 1,454,651,813.81
  5. Step 5: Solve for x
    x = 1,454,651,813.81/46,034.94
  6. Step 6: Final answer
    x = 31,598.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.