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Finding the Fourth Proportional to 74,032, 102,164.16 and 40,040.49

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Solution

The fourth proportional to 74,032, 102,164.16 and 40,040.49 is: 55,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,032 : 102,164.16 = 40,040.49 : x
  2. Step 2: Convert to fraction form
    74,032/102,164.16 = 40,040.49/x
  3. Step 3: Cross multiply
    74,032x = 102,164.16 × 40,040.49
  4. Step 4: Simplify right side
    74,032x = 4,090,702,826.64
  5. Step 5: Solve for x
    x = 4,090,702,826.64/74,032
  6. Step 6: Final answer
    x = 55,255.87

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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.