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Finding the Fourth Proportional to 45,792.73, 68,570.81 and 31,605

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Solution

The fourth proportional to 45,792.73, 68,570.81 and 31,605 is: 47,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,792.73 : 68,570.81 = 31,605 : x
  2. Step 2: Convert to fraction form
    45,792.73/68,570.81 = 31,605/x
  3. Step 3: Cross multiply
    45,792.73x = 68,570.81 × 31,605
  4. Step 4: Simplify right side
    45,792.73x = 2,167,180,292.03
  5. Step 5: Solve for x
    x = 2,167,180,292.03/45,792.73
  6. Step 6: Final answer
    x = 47,325.86

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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.