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Finding the Fourth Proportional to 66,697.32, 100,046.14 and 27,254.42

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Solution

The fourth proportional to 66,697.32, 100,046.14 and 27,254.42 is: 40,881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,697.32 : 100,046.14 = 27,254.42 : x
  2. Step 2: Convert to fraction form
    66,697.32/100,046.14 = 27,254.42/x
  3. Step 3: Cross multiply
    66,697.32x = 100,046.14 × 27,254.42
  4. Step 4: Simplify right side
    66,697.32x = 2,726,699,518.94
  5. Step 5: Solve for x
    x = 2,726,699,518.94/66,697.32
  6. Step 6: Final answer
    x = 40,881.70

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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.