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Finding the Fourth Proportional to 42,334.57, 58,424.32 and 23,471.69

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Solution

The fourth proportional to 42,334.57, 58,424.32 and 23,471.69 is: 32,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,334.57 : 58,424.32 = 23,471.69 : x
  2. Step 2: Convert to fraction form
    42,334.57/58,424.32 = 23,471.69/x
  3. Step 3: Cross multiply
    42,334.57x = 58,424.32 × 23,471.69
  4. Step 4: Simplify right side
    42,334.57x = 1,371,317,593.36
  5. Step 5: Solve for x
    x = 1,371,317,593.36/42,334.57
  6. Step 6: Final answer
    x = 32,392.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.