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Finding the Fourth Proportional to 66,147.49, 91,285.23 and 35,934.54

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Solution

The fourth proportional to 66,147.49, 91,285.23 and 35,934.54 is: 49,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,147.49 : 91,285.23 = 35,934.54 : x
  2. Step 2: Convert to fraction form
    66,147.49/91,285.23 = 35,934.54/x
  3. Step 3: Cross multiply
    66,147.49x = 91,285.23 × 35,934.54
  4. Step 4: Simplify right side
    66,147.49x = 3,280,292,339.15
  5. Step 5: Solve for x
    x = 3,280,292,339.15/66,147.49
  6. Step 6: Final answer
    x = 49,590.58

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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.