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Finding the Fourth Proportional to 30,704.76, 42,374.22 and 17,276.88

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Solution

The fourth proportional to 30,704.76, 42,374.22 and 17,276.88 is: 23,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.76 : 42,374.22 = 17,276.88 : x
  2. Step 2: Convert to fraction form
    30,704.76/42,374.22 = 17,276.88/x
  3. Step 3: Cross multiply
    30,704.76x = 42,374.22 × 17,276.88
  4. Step 4: Simplify right side
    30,704.76x = 732,094,314.03
  5. Step 5: Solve for x
    x = 732,094,314.03/30,704.76
  6. Step 6: Final answer
    x = 23,843.02

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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.