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Finding the Fourth Proportional to 66,954, 92,400.84 and 37,146

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Solution

The fourth proportional to 66,954, 92,400.84 and 37,146 is: 51,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,954 : 92,400.84 = 37,146 : x
  2. Step 2: Convert to fraction form
    66,954/92,400.84 = 37,146/x
  3. Step 3: Cross multiply
    66,954x = 92,400.84 × 37,146
  4. Step 4: Simplify right side
    66,954x = 3,432,321,602.64
  5. Step 5: Solve for x
    x = 3,432,321,602.64/66,954
  6. Step 6: Final answer
    x = 51,263.88

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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.