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Finding the Fourth Proportional to 74,083.25, 102,235.29 and 40,549.25

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Solution

The fourth proportional to 74,083.25, 102,235.29 and 40,549.25 is: 55,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,083.25 : 102,235.29 = 40,549.25 : x
  2. Step 2: Convert to fraction form
    74,083.25/102,235.29 = 40,549.25/x
  3. Step 3: Cross multiply
    74,083.25x = 102,235.29 × 40,549.25
  4. Step 4: Simplify right side
    74,083.25x = 4,145,564,333.03
  5. Step 5: Solve for x
    x = 4,145,564,333.03/74,083.25
  6. Step 6: Final answer
    x = 55,958.19

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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.