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Finding the Fourth Proportional to 27,048, 40,578.48 and 8,580

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Solution

The fourth proportional to 27,048, 40,578.48 and 8,580 is: 12,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048 : 40,578.48 = 8,580 : x
  2. Step 2: Convert to fraction form
    27,048/40,578.48 = 8,580/x
  3. Step 3: Cross multiply
    27,048x = 40,578.48 × 8,580
  4. Step 4: Simplify right side
    27,048x = 348,163,358.40
  5. Step 5: Solve for x
    x = 348,163,358.40/27,048
  6. Step 6: Final answer
    x = 12,872.06

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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.