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Finding the Fourth Proportional to 30,952.44, 42,714.54 and 17,523.72

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Solution

The fourth proportional to 30,952.44, 42,714.54 and 17,523.72 is: 24,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.44 : 42,714.54 = 17,523.72 : x
  2. Step 2: Convert to fraction form
    30,952.44/42,714.54 = 17,523.72/x
  3. Step 3: Cross multiply
    30,952.44x = 42,714.54 × 17,523.72
  4. Step 4: Simplify right side
    30,952.44x = 748,517,638.89
  5. Step 5: Solve for x
    x = 748,517,638.89/30,952.44
  6. Step 6: Final answer
    x = 24,182.83

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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.