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Finding the Fourth Proportional to 40,682.70, 56,143.26 and 24,766.74

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Solution

The fourth proportional to 40,682.70, 56,143.26 and 24,766.74 is: 34,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,682.70 : 56,143.26 = 24,766.74 : x
  2. Step 2: Convert to fraction form
    40,682.70/56,143.26 = 24,766.74/x
  3. Step 3: Cross multiply
    40,682.70x = 56,143.26 × 24,766.74
  4. Step 4: Simplify right side
    40,682.70x = 1,390,485,523.17
  5. Step 5: Solve for x
    x = 1,390,485,523.17/40,682.70
  6. Step 6: Final answer
    x = 34,178.79

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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.