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Finding the Fourth Proportional to 42,662.24, 58,873.44 and 23,804

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Solution

The fourth proportional to 42,662.24, 58,873.44 and 23,804 is: 32,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,662.24 : 58,873.44 = 23,804 : x
  2. Step 2: Convert to fraction form
    42,662.24/58,873.44 = 23,804/x
  3. Step 3: Cross multiply
    42,662.24x = 58,873.44 × 23,804
  4. Step 4: Simplify right side
    42,662.24x = 1,401,423,365.76
  5. Step 5: Solve for x
    x = 1,401,423,365.76/42,662.24
  6. Step 6: Final answer
    x = 32,849.27

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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.