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Finding the Fourth Proportional to 66,874, 92,286.28 and 37,066

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Solution

The fourth proportional to 66,874, 92,286.28 and 37,066 is: 51,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,874 : 92,286.28 = 37,066 : x
  2. Step 2: Convert to fraction form
    66,874/92,286.28 = 37,066/x
  3. Step 3: Cross multiply
    66,874x = 92,286.28 × 37,066
  4. Step 4: Simplify right side
    66,874x = 3,420,683,254.48
  5. Step 5: Solve for x
    x = 3,420,683,254.48/66,874
  6. Step 6: Final answer
    x = 51,151.17

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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.