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Finding the Fourth Proportional to 35,311.38, 52,967.16 and 8,657.48

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Solution

The fourth proportional to 35,311.38, 52,967.16 and 8,657.48 is: 12,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,311.38 : 52,967.16 = 8,657.48 : x
  2. Step 2: Convert to fraction form
    35,311.38/52,967.16 = 8,657.48/x
  3. Step 3: Cross multiply
    35,311.38x = 52,967.16 × 8,657.48
  4. Step 4: Simplify right side
    35,311.38x = 458,562,128.36
  5. Step 5: Solve for x
    x = 458,562,128.36/35,311.38
  6. Step 6: Final answer
    x = 12,986.24

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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.