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Finding the Fourth Proportional to 42,220.44, 58,238.84 and 27,880.44

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Solution

The fourth proportional to 42,220.44, 58,238.84 and 27,880.44 is: 38,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,220.44 : 58,238.84 = 27,880.44 : x
  2. Step 2: Convert to fraction form
    42,220.44/58,238.84 = 27,880.44/x
  3. Step 3: Cross multiply
    42,220.44x = 58,238.84 × 27,880.44
  4. Step 4: Simplify right side
    42,220.44x = 1,623,724,484.29
  5. Step 5: Solve for x
    x = 1,623,724,484.29/42,220.44
  6. Step 6: Final answer
    x = 38,458.26

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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.