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Finding the Fourth Proportional to 34,706.32, 52,059.48 and 8,410.96

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Solution

The fourth proportional to 34,706.32, 52,059.48 and 8,410.96 is: 12,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.32 : 52,059.48 = 8,410.96 : x
  2. Step 2: Convert to fraction form
    34,706.32/52,059.48 = 8,410.96/x
  3. Step 3: Cross multiply
    34,706.32x = 52,059.48 × 8,410.96
  4. Step 4: Simplify right side
    34,706.32x = 437,870,203.90
  5. Step 5: Solve for x
    x = 437,870,203.90/34,706.32
  6. Step 6: Final answer
    x = 12,616.44

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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.