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Finding the Fourth Proportional to 41,320.87, 57,024 and 23,415.28

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Solution

The fourth proportional to 41,320.87, 57,024 and 23,415.28 is: 32,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,320.87 : 57,024 = 23,415.28 : x
  2. Step 2: Convert to fraction form
    41,320.87/57,024 = 23,415.28/x
  3. Step 3: Cross multiply
    41,320.87x = 57,024 × 23,415.28
  4. Step 4: Simplify right side
    41,320.87x = 1,335,232,784.16
  5. Step 5: Solve for x
    x = 1,335,232,784.16/41,320.87
  6. Step 6: Final answer
    x = 32,313.76

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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.