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Finding the Fourth Proportional to 40,843.24, 56,358.18 and 24,073

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Solution

The fourth proportional to 40,843.24, 56,358.18 and 24,073 is: 33,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,843.24 : 56,358.18 = 24,073 : x
  2. Step 2: Convert to fraction form
    40,843.24/56,358.18 = 24,073/x
  3. Step 3: Cross multiply
    40,843.24x = 56,358.18 × 24,073
  4. Step 4: Simplify right side
    40,843.24x = 1,356,710,467.14
  5. Step 5: Solve for x
    x = 1,356,710,467.14/40,843.24
  6. Step 6: Final answer
    x = 33,217.50

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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.