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Finding the Fourth Proportional to 34,873.24, 52,309.88 and 8,578.48

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Solution

The fourth proportional to 34,873.24, 52,309.88 and 8,578.48 is: 12,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,873.24 : 52,309.88 = 8,578.48 : x
  2. Step 2: Convert to fraction form
    34,873.24/52,309.88 = 8,578.48/x
  3. Step 3: Cross multiply
    34,873.24x = 52,309.88 × 8,578.48
  4. Step 4: Simplify right side
    34,873.24x = 448,739,259.38
  5. Step 5: Solve for x
    x = 448,739,259.38/34,873.24
  6. Step 6: Final answer
    x = 12,867.72

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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.