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Finding the Fourth Proportional to 38,965.30, 53,759.22 and 21,967.42

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Solution

The fourth proportional to 38,965.30, 53,759.22 and 21,967.42 is: 30,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,965.30 : 53,759.22 = 21,967.42 : x
  2. Step 2: Convert to fraction form
    38,965.30/53,759.22 = 21,967.42/x
  3. Step 3: Cross multiply
    38,965.30x = 53,759.22 × 21,967.42
  4. Step 4: Simplify right side
    38,965.30x = 1,180,951,364.61
  5. Step 5: Solve for x
    x = 1,180,951,364.61/38,965.30
  6. Step 6: Final answer
    x = 30,307.77

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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.