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Finding the Fourth Proportional to 40,178.64, 55,448.64 and 24,262.86

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Solution

The fourth proportional to 40,178.64, 55,448.64 and 24,262.86 is: 33,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,178.64 : 55,448.64 = 24,262.86 : x
  2. Step 2: Convert to fraction form
    40,178.64/55,448.64 = 24,262.86/x
  3. Step 3: Cross multiply
    40,178.64x = 55,448.64 × 24,262.86
  4. Step 4: Simplify right side
    40,178.64x = 1,345,342,589.51
  5. Step 5: Solve for x
    x = 1,345,342,589.51/40,178.64
  6. Step 6: Final answer
    x = 33,484.03

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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.