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Finding the Fourth Proportional to 74,515.66, 102,830.64 and 40,523.41

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Solution

The fourth proportional to 74,515.66, 102,830.64 and 40,523.41 is: 55,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,515.66 : 102,830.64 = 40,523.41 : x
  2. Step 2: Convert to fraction form
    74,515.66/102,830.64 = 40,523.41/x
  3. Step 3: Cross multiply
    74,515.66x = 102,830.64 × 40,523.41
  4. Step 4: Simplify right side
    74,515.66x = 4,167,048,185.28
  5. Step 5: Solve for x
    x = 4,167,048,185.28/74,515.66
  6. Step 6: Final answer
    x = 55,921.78

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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.