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Finding the Fourth Proportional to 66,859, 100,334.58 and 23,083

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Solution

The fourth proportional to 66,859, 100,334.58 and 23,083 is: 34,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,859 : 100,334.58 = 23,083 : x
  2. Step 2: Convert to fraction form
    66,859/100,334.58 = 23,083/x
  3. Step 3: Cross multiply
    66,859x = 100,334.58 × 23,083
  4. Step 4: Simplify right side
    66,859x = 2,316,023,110.14
  5. Step 5: Solve for x
    x = 2,316,023,110.14/66,859
  6. Step 6: Final answer
    x = 34,640.41

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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.