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Finding the Fourth Proportional to 66,751.50, 92,117.16 and 41,601

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Solution

The fourth proportional to 66,751.50, 92,117.16 and 41,601 is: 57,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,751.50 : 92,117.16 = 41,601 : x
  2. Step 2: Convert to fraction form
    66,751.50/92,117.16 = 41,601/x
  3. Step 3: Cross multiply
    66,751.50x = 92,117.16 × 41,601
  4. Step 4: Simplify right side
    66,751.50x = 3,832,165,973.16
  5. Step 5: Solve for x
    x = 3,832,165,973.16/66,751.50
  6. Step 6: Final answer
    x = 57,409.44

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Why These Related Problems?

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