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Finding the Fourth Proportional to 38,614, 53,287.32 and 20,950

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Solution

The fourth proportional to 38,614, 53,287.32 and 20,950 is: 28,911

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,614 : 53,287.32 = 20,950 : x
  2. Step 2: Convert to fraction form
    38,614/53,287.32 = 20,950/x
  3. Step 3: Cross multiply
    38,614x = 53,287.32 × 20,950
  4. Step 4: Simplify right side
    38,614x = 1,116,369,354
  5. Step 5: Solve for x
    x = 1,116,369,354/38,614
  6. Step 6: Final answer
    x = 28,911

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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.