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Finding the Fourth Proportional to 39,142, 54,014.38 and 21,236.32

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Solution

The fourth proportional to 39,142, 54,014.38 and 21,236.32 is: 29,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,142 : 54,014.38 = 21,236.32 : x
  2. Step 2: Convert to fraction form
    39,142/54,014.38 = 21,236.32/x
  3. Step 3: Cross multiply
    39,142x = 54,014.38 × 21,236.32
  4. Step 4: Simplify right side
    39,142x = 1,147,066,658.28
  5. Step 5: Solve for x
    x = 1,147,066,658.28/39,142
  6. Step 6: Final answer
    x = 29,305.26

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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.