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Finding the Fourth Proportional to 66,961, 92,406.18 and 37,153

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Solution

The fourth proportional to 66,961, 92,406.18 and 37,153 is: 51,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,961 : 92,406.18 = 37,153 : x
  2. Step 2: Convert to fraction form
    66,961/92,406.18 = 37,153/x
  3. Step 3: Cross multiply
    66,961x = 92,406.18 × 37,153
  4. Step 4: Simplify right side
    66,961x = 3,433,166,805.54
  5. Step 5: Solve for x
    x = 3,433,166,805.54/66,961
  6. Step 6: Final answer
    x = 51,271.14

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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.