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Finding the Fourth Proportional to 57,714.30, 86,571.45 and 24,423.30

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Solution

The fourth proportional to 57,714.30, 86,571.45 and 24,423.30 is: 36,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714.30 : 86,571.45 = 24,423.30 : x
  2. Step 2: Convert to fraction form
    57,714.30/86,571.45 = 24,423.30/x
  3. Step 3: Cross multiply
    57,714.30x = 86,571.45 × 24,423.30
  4. Step 4: Simplify right side
    57,714.30x = 2,114,360,494.79
  5. Step 5: Solve for x
    x = 2,114,360,494.79/57,714.30
  6. Step 6: Final answer
    x = 36,634.95

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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.