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Finding the Fourth Proportional to 42,758, 59,004.94 and 23,895.28

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Solution

The fourth proportional to 42,758, 59,004.94 and 23,895.28 is: 32,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,758 : 59,004.94 = 23,895.28 : x
  2. Step 2: Convert to fraction form
    42,758/59,004.94 = 23,895.28/x
  3. Step 3: Cross multiply
    42,758x = 59,004.94 × 23,895.28
  4. Step 4: Simplify right side
    42,758x = 1,409,939,562.68
  5. Step 5: Solve for x
    x = 1,409,939,562.68/42,758
  6. Step 6: Final answer
    x = 32,974.87

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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.