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Finding the Fourth Proportional to 26,749.31, 40,124.17 and 7,027.83

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Solution

The fourth proportional to 26,749.31, 40,124.17 and 7,027.83 is: 10,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,749.31 : 40,124.17 = 7,027.83 : x
  2. Step 2: Convert to fraction form
    26,749.31/40,124.17 = 7,027.83/x
  3. Step 3: Cross multiply
    26,749.31x = 40,124.17 × 7,027.83
  4. Step 4: Simplify right side
    26,749.31x = 281,985,810.51
  5. Step 5: Solve for x
    x = 281,985,810.51/26,749.31
  6. Step 6: Final answer
    x = 10,541.80

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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.