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Finding the Fourth Proportional to 42,665.28, 58,879.35 and 23,802

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Solution

The fourth proportional to 42,665.28, 58,879.35 and 23,802 is: 32,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,665.28 : 58,879.35 = 23,802 : x
  2. Step 2: Convert to fraction form
    42,665.28/58,879.35 = 23,802/x
  3. Step 3: Cross multiply
    42,665.28x = 58,879.35 × 23,802
  4. Step 4: Simplify right side
    42,665.28x = 1,401,446,288.70
  5. Step 5: Solve for x
    x = 1,401,446,288.70/42,665.28
  6. Step 6: Final answer
    x = 32,847.46

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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.