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Finding the Fourth Proportional to 74,056, 102,197.28 and 40,522

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Solution

The fourth proportional to 74,056, 102,197.28 and 40,522 is: 55,920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,056 : 102,197.28 = 40,522 : x
  2. Step 2: Convert to fraction form
    74,056/102,197.28 = 40,522/x
  3. Step 3: Cross multiply
    74,056x = 102,197.28 × 40,522
  4. Step 4: Simplify right side
    74,056x = 4,141,238,180.16
  5. Step 5: Solve for x
    x = 4,141,238,180.16/74,056
  6. Step 6: Final answer
    x = 55,920.36

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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.