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Finding the Fourth Proportional to 34,046.28, 46,950.86 and 22,716.24

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Solution

The fourth proportional to 34,046.28, 46,950.86 and 22,716.24 is: 31,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,046.28 : 46,950.86 = 22,716.24 : x
  2. Step 2: Convert to fraction form
    34,046.28/46,950.86 = 22,716.24/x
  3. Step 3: Cross multiply
    34,046.28x = 46,950.86 × 22,716.24
  4. Step 4: Simplify right side
    34,046.28x = 1,066,547,003.97
  5. Step 5: Solve for x
    x = 1,066,547,003.97/34,046.28
  6. Step 6: Final answer
    x = 31,326.39

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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.