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Finding the Fourth Proportional to 34,056.78, 46,965.39 and 22,726.75

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Solution

The fourth proportional to 34,056.78, 46,965.39 and 22,726.75 is: 31,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,056.78 : 46,965.39 = 22,726.75 : x
  2. Step 2: Convert to fraction form
    34,056.78/46,965.39 = 22,726.75/x
  3. Step 3: Cross multiply
    34,056.78x = 46,965.39 × 22,726.75
  4. Step 4: Simplify right side
    34,056.78x = 1,067,370,677.18
  5. Step 5: Solve for x
    x = 1,067,370,677.18/34,056.78
  6. Step 6: Final answer
    x = 31,340.92

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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.