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Finding the Fourth Proportional to 66,951, 92,392.38 and 37,143

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Solution

The fourth proportional to 66,951, 92,392.38 and 37,143 is: 51,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,951 : 92,392.38 = 37,143 : x
  2. Step 2: Convert to fraction form
    66,951/92,392.38 = 37,143/x
  3. Step 3: Cross multiply
    66,951x = 92,392.38 × 37,143
  4. Step 4: Simplify right side
    66,951x = 3,431,730,170.34
  5. Step 5: Solve for x
    x = 3,431,730,170.34/66,951
  6. Step 6: Final answer
    x = 51,257.34

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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.