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Finding the Fourth Proportional to 33,411.48, 46,123.74 and 20,854.68

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Solution

The fourth proportional to 33,411.48, 46,123.74 and 20,854.68 is: 28,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,411.48 : 46,123.74 = 20,854.68 : x
  2. Step 2: Convert to fraction form
    33,411.48/46,123.74 = 20,854.68/x
  3. Step 3: Cross multiply
    33,411.48x = 46,123.74 × 20,854.68
  4. Step 4: Simplify right side
    33,411.48x = 961,895,838.10
  5. Step 5: Solve for x
    x = 961,895,838.10/33,411.48
  6. Step 6: Final answer
    x = 28,789.38

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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.