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Finding the Fourth Proportional to 26,085.42, 35,998.02 and 20,106

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Solution

The fourth proportional to 26,085.42, 35,998.02 and 20,106 is: 27,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,085.42 : 35,998.02 = 20,106 : x
  2. Step 2: Convert to fraction form
    26,085.42/35,998.02 = 20,106/x
  3. Step 3: Cross multiply
    26,085.42x = 35,998.02 × 20,106
  4. Step 4: Simplify right side
    26,085.42x = 723,776,190.12
  5. Step 5: Solve for x
    x = 723,776,190.12/26,085.42
  6. Step 6: Final answer
    x = 27,746.39

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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.