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Finding the Fourth Proportional to 40,006.64, 55,209.57 and 27,924.68

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Solution

The fourth proportional to 40,006.64, 55,209.57 and 27,924.68 is: 38,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,006.64 : 55,209.57 = 27,924.68 : x
  2. Step 2: Convert to fraction form
    40,006.64/55,209.57 = 27,924.68/x
  3. Step 3: Cross multiply
    40,006.64x = 55,209.57 × 27,924.68
  4. Step 4: Simplify right side
    40,006.64x = 1,541,709,575.19
  5. Step 5: Solve for x
    x = 1,541,709,575.19/40,006.64
  6. Step 6: Final answer
    x = 38,536.34

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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.