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Finding the Fourth Proportional to 66,868, 100,348.16 and 23,092

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Solution

The fourth proportional to 66,868, 100,348.16 and 23,092 is: 34,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,868 : 100,348.16 = 23,092 : x
  2. Step 2: Convert to fraction form
    66,868/100,348.16 = 23,092/x
  3. Step 3: Cross multiply
    66,868x = 100,348.16 × 23,092
  4. Step 4: Simplify right side
    66,868x = 2,317,239,710.72
  5. Step 5: Solve for x
    x = 2,317,239,710.72/66,868
  6. Step 6: Final answer
    x = 34,653.94

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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.