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Finding the Fourth Proportional to 33,898.78, 46,721.95 and 22,548

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Solution

The fourth proportional to 33,898.78, 46,721.95 and 22,548 is: 31,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,898.78 : 46,721.95 = 22,548 : x
  2. Step 2: Convert to fraction form
    33,898.78/46,721.95 = 22,548/x
  3. Step 3: Cross multiply
    33,898.78x = 46,721.95 × 22,548
  4. Step 4: Simplify right side
    33,898.78x = 1,053,486,528.60
  5. Step 5: Solve for x
    x = 1,053,486,528.60/33,898.78
  6. Step 6: Final answer
    x = 31,077.42

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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.