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Finding the Fourth Proportional to 66,825.82, 92,218.14 and 37,751.47

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Solution

The fourth proportional to 66,825.82, 92,218.14 and 37,751.47 is: 52,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,825.82 : 92,218.14 = 37,751.47 : x
  2. Step 2: Convert to fraction form
    66,825.82/92,218.14 = 37,751.47/x
  3. Step 3: Cross multiply
    66,825.82x = 92,218.14 × 37,751.47
  4. Step 4: Simplify right side
    66,825.82x = 3,481,370,345.67
  5. Step 5: Solve for x
    x = 3,481,370,345.67/66,825.82
  6. Step 6: Final answer
    x = 52,096.19

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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.