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Finding the Fourth Proportional to 34,706.97, 52,060.50 and 8,411.67

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Solution

The fourth proportional to 34,706.97, 52,060.50 and 8,411.67 is: 12,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.97 : 52,060.50 = 8,411.67 : x
  2. Step 2: Convert to fraction form
    34,706.97/52,060.50 = 8,411.67/x
  3. Step 3: Cross multiply
    34,706.97x = 52,060.50 × 8,411.67
  4. Step 4: Simplify right side
    34,706.97x = 437,915,746.04
  5. Step 5: Solve for x
    x = 437,915,746.04/34,706.97
  6. Step 6: Final answer
    x = 12,617.52

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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.