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Finding the Fourth Proportional to 75,952.96, 113,941.79 and 23,362.49

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Solution

The fourth proportional to 75,952.96, 113,941.79 and 23,362.49 is: 35,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952.96 : 113,941.79 = 23,362.49 : x
  2. Step 2: Convert to fraction form
    75,952.96/113,941.79 = 23,362.49/x
  3. Step 3: Cross multiply
    75,952.96x = 113,941.79 × 23,362.49
  4. Step 4: Simplify right side
    75,952.96x = 2,661,964,185.11
  5. Step 5: Solve for x
    x = 2,661,964,185.11/75,952.96
  6. Step 6: Final answer
    x = 35,047.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.