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Finding the Fourth Proportional to 74,036.40, 102,169.32 and 42,204.24

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Solution

The fourth proportional to 74,036.40, 102,169.32 and 42,204.24 is: 58,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,036.40 : 102,169.32 = 42,204.24 : x
  2. Step 2: Convert to fraction form
    74,036.40/102,169.32 = 42,204.24/x
  3. Step 3: Cross multiply
    74,036.40x = 102,169.32 × 42,204.24
  4. Step 4: Simplify right side
    74,036.40x = 4,311,978,501.92
  5. Step 5: Solve for x
    x = 4,311,978,501.92/74,036.40
  6. Step 6: Final answer
    x = 58,241.33

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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.