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Finding the Fourth Proportional to 34,706.56, 52,059.39 and 8,411.53

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Solution

The fourth proportional to 34,706.56, 52,059.39 and 8,411.53 is: 12,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.56 : 52,059.39 = 8,411.53 : x
  2. Step 2: Convert to fraction form
    34,706.56/52,059.39 = 8,411.53/x
  3. Step 3: Cross multiply
    34,706.56x = 52,059.39 × 8,411.53
  4. Step 4: Simplify right side
    34,706.56x = 437,899,120.77
  5. Step 5: Solve for x
    x = 437,899,120.77/34,706.56
  6. Step 6: Final answer
    x = 12,617.19

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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.