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Finding the Fourth Proportional to 46,498.92, 69,654.96 and 21,503.94

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Solution

The fourth proportional to 46,498.92, 69,654.96 and 21,503.94 is: 32,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,498.92 : 69,654.96 = 21,503.94 : x
  2. Step 2: Convert to fraction form
    46,498.92/69,654.96 = 21,503.94/x
  3. Step 3: Cross multiply
    46,498.92x = 69,654.96 × 21,503.94
  4. Step 4: Simplify right side
    46,498.92x = 1,497,856,080.54
  5. Step 5: Solve for x
    x = 1,497,856,080.54/46,498.92
  6. Step 6: Final answer
    x = 32,212.71

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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.