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Finding the Fourth Proportional to 67,000, 92,461.08 and 37,192

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Solution

The fourth proportional to 67,000, 92,461.08 and 37,192 is: 51,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,000 : 92,461.08 = 37,192 : x
  2. Step 2: Convert to fraction form
    67,000/92,461.08 = 37,192/x
  3. Step 3: Cross multiply
    67,000x = 92,461.08 × 37,192
  4. Step 4: Simplify right side
    67,000x = 3,438,812,487.36
  5. Step 5: Solve for x
    x = 3,438,812,487.36/67,000
  6. Step 6: Final answer
    x = 51,325.56

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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.