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Finding the Fourth Proportional to 42,015.28, 57,980.73 and 23,152

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Solution

The fourth proportional to 42,015.28, 57,980.73 and 23,152 is: 31,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,015.28 : 57,980.73 = 23,152 : x
  2. Step 2: Convert to fraction form
    42,015.28/57,980.73 = 23,152/x
  3. Step 3: Cross multiply
    42,015.28x = 57,980.73 × 23,152
  4. Step 4: Simplify right side
    42,015.28x = 1,342,369,860.96
  5. Step 5: Solve for x
    x = 1,342,369,860.96/42,015.28
  6. Step 6: Final answer
    x = 31,949.56

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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.