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Finding the Fourth Proportional to 38,142.41, 57,220.22 and 12,839.51

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Solution

The fourth proportional to 38,142.41, 57,220.22 and 12,839.51 is: 19,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,142.41 : 57,220.22 = 12,839.51 : x
  2. Step 2: Convert to fraction form
    38,142.41/57,220.22 = 12,839.51/x
  3. Step 3: Cross multiply
    38,142.41x = 57,220.22 × 12,839.51
  4. Step 4: Simplify right side
    38,142.41x = 734,679,762.04
  5. Step 5: Solve for x
    x = 734,679,762.04/38,142.41
  6. Step 6: Final answer
    x = 19,261.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.