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Finding the Fourth Proportional to 38,774.64, 53,510.32 and 21,781.88

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Solution

The fourth proportional to 38,774.64, 53,510.32 and 21,781.88 is: 30,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774.64 : 53,510.32 = 21,781.88 : x
  2. Step 2: Convert to fraction form
    38,774.64/53,510.32 = 21,781.88/x
  3. Step 3: Cross multiply
    38,774.64x = 53,510.32 × 21,781.88
  4. Step 4: Simplify right side
    38,774.64x = 1,165,555,369.00
  5. Step 5: Solve for x
    x = 1,165,555,369.00/38,774.64
  6. Step 6: Final answer
    x = 30,059.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.