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Finding the Fourth Proportional to 50,536.58, 69,742.16 and 27,567.66

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Solution

The fourth proportional to 50,536.58, 69,742.16 and 27,567.66 is: 38,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,536.58 : 69,742.16 = 27,567.66 : x
  2. Step 2: Convert to fraction form
    50,536.58/69,742.16 = 27,567.66/x
  3. Step 3: Cross multiply
    50,536.58x = 69,742.16 × 27,567.66
  4. Step 4: Simplify right side
    50,536.58x = 1,922,628,154.55
  5. Step 5: Solve for x
    x = 1,922,628,154.55/50,536.58
  6. Step 6: Final answer
    x = 38,044.29

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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.