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Finding the Fourth Proportional to 35,252.25, 52,879.82 and 8,957.67

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Solution

The fourth proportional to 35,252.25, 52,879.82 and 8,957.67 is: 13,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,252.25 : 52,879.82 = 8,957.67 : x
  2. Step 2: Convert to fraction form
    35,252.25/52,879.82 = 8,957.67/x
  3. Step 3: Cross multiply
    35,252.25x = 52,879.82 × 8,957.67
  4. Step 4: Simplify right side
    35,252.25x = 473,679,977.22
  5. Step 5: Solve for x
    x = 473,679,977.22/35,252.25
  6. Step 6: Final answer
    x = 13,436.87

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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.