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Finding the Fourth Proportional to 66,825, 92,218.68 and 37,017

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Solution

The fourth proportional to 66,825, 92,218.68 and 37,017 is: 51,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,825 : 92,218.68 = 37,017 : x
  2. Step 2: Convert to fraction form
    66,825/92,218.68 = 37,017/x
  3. Step 3: Cross multiply
    66,825x = 92,218.68 × 37,017
  4. Step 4: Simplify right side
    66,825x = 3,413,658,877.56
  5. Step 5: Solve for x
    x = 3,413,658,877.56/66,825
  6. Step 6: Final answer
    x = 51,083.56

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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.