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Finding the Fourth Proportional to 45,170.78, 67,797.76 and 23,000

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Solution

The fourth proportional to 45,170.78, 67,797.76 and 23,000 is: 34,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,170.78 : 67,797.76 = 23,000 : x
  2. Step 2: Convert to fraction form
    45,170.78/67,797.76 = 23,000/x
  3. Step 3: Cross multiply
    45,170.78x = 67,797.76 × 23,000
  4. Step 4: Simplify right side
    45,170.78x = 1,559,348,480.00
  5. Step 5: Solve for x
    x = 1,559,348,480.00/45,170.78
  6. Step 6: Final answer
    x = 34,521.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.