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Finding the Fourth Proportional to 34,142.64, 47,091.96 and 26,094.48

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Solution

The fourth proportional to 34,142.64, 47,091.96 and 26,094.48 is: 35,991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.64 : 47,091.96 = 26,094.48 : x
  2. Step 2: Convert to fraction form
    34,142.64/47,091.96 = 26,094.48/x
  3. Step 3: Cross multiply
    34,142.64x = 47,091.96 × 26,094.48
  4. Step 4: Simplify right side
    34,142.64x = 1,228,840,208.38
  5. Step 5: Solve for x
    x = 1,228,840,208.38/34,142.64
  6. Step 6: Final answer
    x = 35,991.36

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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.