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Finding the Fourth Proportional to 66,858, 100,333.08 and 23,082

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Solution

The fourth proportional to 66,858, 100,333.08 and 23,082 is: 34,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,858 : 100,333.08 = 23,082 : x
  2. Step 2: Convert to fraction form
    66,858/100,333.08 = 23,082/x
  3. Step 3: Cross multiply
    66,858x = 100,333.08 × 23,082
  4. Step 4: Simplify right side
    66,858x = 2,315,888,152.56
  5. Step 5: Solve for x
    x = 2,315,888,152.56/66,858
  6. Step 6: Final answer
    x = 34,638.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.