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Finding the Fourth Proportional to 74,094.32, 102,259.32 and 55,198.64

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Solution

The fourth proportional to 74,094.32, 102,259.32 and 55,198.64 is: 76,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,094.32 : 102,259.32 = 55,198.64 : x
  2. Step 2: Convert to fraction form
    74,094.32/102,259.32 = 55,198.64/x
  3. Step 3: Cross multiply
    74,094.32x = 102,259.32 × 55,198.64
  4. Step 4: Simplify right side
    74,094.32x = 5,644,575,391.32
  5. Step 5: Solve for x
    x = 5,644,575,391.32/74,094.32
  6. Step 6: Final answer
    x = 76,180.95

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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.