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Finding the Fourth Proportional to 74,033.34, 102,165.03 and 42,202.77

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Solution

The fourth proportional to 74,033.34, 102,165.03 and 42,202.77 is: 58,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,033.34 : 102,165.03 = 42,202.77 : x
  2. Step 2: Convert to fraction form
    74,033.34/102,165.03 = 42,202.77/x
  3. Step 3: Cross multiply
    74,033.34x = 102,165.03 × 42,202.77
  4. Step 4: Simplify right side
    74,033.34x = 4,311,647,263.13
  5. Step 5: Solve for x
    x = 4,311,647,263.13/74,033.34
  6. Step 6: Final answer
    x = 58,239.26

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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.