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Finding the Fourth Proportional to 35,142.79, 52,714.19 and 10,182.86

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Solution

The fourth proportional to 35,142.79, 52,714.19 and 10,182.86 is: 15,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,142.79 : 52,714.19 = 10,182.86 : x
  2. Step 2: Convert to fraction form
    35,142.79/52,714.19 = 10,182.86/x
  3. Step 3: Cross multiply
    35,142.79x = 52,714.19 × 10,182.86
  4. Step 4: Simplify right side
    35,142.79x = 536,780,902.30
  5. Step 5: Solve for x
    x = 536,780,902.30/35,142.79
  6. Step 6: Final answer
    x = 15,274.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.