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Finding the Fourth Proportional to 66,026.16, 91,115.28 and 35,811

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Solution

The fourth proportional to 66,026.16, 91,115.28 and 35,811 is: 49,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,026.16 : 91,115.28 = 35,811 : x
  2. Step 2: Convert to fraction form
    66,026.16/91,115.28 = 35,811/x
  3. Step 3: Cross multiply
    66,026.16x = 91,115.28 × 35,811
  4. Step 4: Simplify right side
    66,026.16x = 3,262,929,292.08
  5. Step 5: Solve for x
    x = 3,262,929,292.08/66,026.16
  6. Step 6: Final answer
    x = 49,418.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.