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Finding the Fourth Proportional to 74,134.14, 102,304.93 and 40,142.66

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Solution

The fourth proportional to 74,134.14, 102,304.93 and 40,142.66 is: 55,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,134.14 : 102,304.93 = 40,142.66 : x
  2. Step 2: Convert to fraction form
    74,134.14/102,304.93 = 40,142.66/x
  3. Step 3: Cross multiply
    74,134.14x = 102,304.93 × 40,142.66
  4. Step 4: Simplify right side
    74,134.14x = 4,106,792,021.31
  5. Step 5: Solve for x
    x = 4,106,792,021.31/74,134.14
  6. Step 6: Final answer
    x = 55,396.77

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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.