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Finding the Fourth Proportional to 39,114, 53,969.88 and 23,192.64

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Solution

The fourth proportional to 39,114, 53,969.88 and 23,192.64 is: 32,001.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,114 : 53,969.88 = 23,192.64 : x
  2. Step 2: Convert to fraction form
    39,114/53,969.88 = 23,192.64/x
  3. Step 3: Cross multiply
    39,114x = 53,969.88 × 23,192.64
  4. Step 4: Simplify right side
    39,114x = 1,251,703,997.68
  5. Step 5: Solve for x
    x = 1,251,703,997.68/39,114
  6. Step 6: Final answer
    x = 32,001.43

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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.