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Finding the Fourth Proportional to 74,896.72, 103,356.04 and 41,362

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Solution

The fourth proportional to 74,896.72, 103,356.04 and 41,362 is: 57,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,896.72 : 103,356.04 = 41,362 : x
  2. Step 2: Convert to fraction form
    74,896.72/103,356.04 = 41,362/x
  3. Step 3: Cross multiply
    74,896.72x = 103,356.04 × 41,362
  4. Step 4: Simplify right side
    74,896.72x = 4,275,012,526.48
  5. Step 5: Solve for x
    x = 4,275,012,526.48/74,896.72
  6. Step 6: Final answer
    x = 57,078.77

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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.