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Finding the Fourth Proportional to 40,164.64, 55,429.16 and 24,248.80

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Solution

The fourth proportional to 40,164.64, 55,429.16 and 24,248.80 is: 33,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,164.64 : 55,429.16 = 24,248.80 : x
  2. Step 2: Convert to fraction form
    40,164.64/55,429.16 = 24,248.80/x
  3. Step 3: Cross multiply
    40,164.64x = 55,429.16 × 24,248.80
  4. Step 4: Simplify right side
    40,164.64x = 1,344,090,615.01
  5. Step 5: Solve for x
    x = 1,344,090,615.01/40,164.64
  6. Step 6: Final answer
    x = 33,464.53

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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.