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Finding the Fourth Proportional to 38,701.64, 53,404.86 and 21,474.44

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Solution

The fourth proportional to 38,701.64, 53,404.86 and 21,474.44 is: 29,632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,701.64 : 53,404.86 = 21,474.44 : x
  2. Step 2: Convert to fraction form
    38,701.64/53,404.86 = 21,474.44/x
  3. Step 3: Cross multiply
    38,701.64x = 53,404.86 × 21,474.44
  4. Step 4: Simplify right side
    38,701.64x = 1,146,839,461.78
  5. Step 5: Solve for x
    x = 1,146,839,461.78/38,701.64
  6. Step 6: Final answer
    x = 29,632.84

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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.