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Finding the Fourth Proportional to 33,714.38, 46,525.64 and 19,566.92

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Solution

The fourth proportional to 33,714.38, 46,525.64 and 19,566.92 is: 27,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,714.38 : 46,525.64 = 19,566.92 : x
  2. Step 2: Convert to fraction form
    33,714.38/46,525.64 = 19,566.92/x
  3. Step 3: Cross multiply
    33,714.38x = 46,525.64 × 19,566.92
  4. Step 4: Simplify right side
    33,714.38x = 910,363,475.83
  5. Step 5: Solve for x
    x = 910,363,475.83/33,714.38
  6. Step 6: Final answer
    x = 27,002.23

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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.