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Finding the Fourth Proportional to 34,706.97, 52,065.92 and 12,525.77

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Solution

The fourth proportional to 34,706.97, 52,065.92 and 12,525.77 is: 18,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.97 : 52,065.92 = 12,525.77 : x
  2. Step 2: Convert to fraction form
    34,706.97/52,065.92 = 12,525.77/x
  3. Step 3: Cross multiply
    34,706.97x = 52,065.92 × 12,525.77
  4. Step 4: Simplify right side
    34,706.97x = 652,165,415.80
  5. Step 5: Solve for x
    x = 652,165,415.80/34,706.97
  6. Step 6: Final answer
    x = 18,790.62

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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.