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Finding the Fourth Proportional to 33,712.38, 46,522.89 and 19,564.92

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Solution

The fourth proportional to 33,712.38, 46,522.89 and 19,564.92 is: 26,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,712.38 : 46,522.89 = 19,564.92 : x
  2. Step 2: Convert to fraction form
    33,712.38/46,522.89 = 19,564.92/x
  3. Step 3: Cross multiply
    33,712.38x = 46,522.89 × 19,564.92
  4. Step 4: Simplify right side
    33,712.38x = 910,216,621.02
  5. Step 5: Solve for x
    x = 910,216,621.02/33,712.38
  6. Step 6: Final answer
    x = 26,999.48

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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.