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Finding the Fourth Proportional to 66,950.98, 92,398.17 and 36,742.13

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Solution

The fourth proportional to 66,950.98, 92,398.17 and 36,742.13 is: 50,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,950.98 : 92,398.17 = 36,742.13 : x
  2. Step 2: Convert to fraction form
    66,950.98/92,398.17 = 36,742.13/x
  3. Step 3: Cross multiply
    66,950.98x = 92,398.17 × 36,742.13
  4. Step 4: Simplify right side
    66,950.98x = 3,394,905,649.38
  5. Step 5: Solve for x
    x = 3,394,905,649.38/66,950.98
  6. Step 6: Final answer
    x = 50,707.33

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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.