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Finding the Fourth Proportional to 45,152.48, 67,630.44 and 27,569

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Solution

The fourth proportional to 45,152.48, 67,630.44 and 27,569 is: 41,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,152.48 : 67,630.44 = 27,569 : x
  2. Step 2: Convert to fraction form
    45,152.48/67,630.44 = 27,569/x
  3. Step 3: Cross multiply
    45,152.48x = 67,630.44 × 27,569
  4. Step 4: Simplify right side
    45,152.48x = 1,864,503,600.36
  5. Step 5: Solve for x
    x = 1,864,503,600.36/45,152.48
  6. Step 6: Final answer
    x = 41,293.49

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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.