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Finding the Fourth Proportional to 34,706.94, 52,059.47 and 9,747.20

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Solution

The fourth proportional to 34,706.94, 52,059.47 and 9,747.20 is: 14,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.94 : 52,059.47 = 9,747.20 : x
  2. Step 2: Convert to fraction form
    34,706.94/52,059.47 = 9,747.20/x
  3. Step 3: Cross multiply
    34,706.94x = 52,059.47 × 9,747.20
  4. Step 4: Simplify right side
    34,706.94x = 507,433,756.95
  5. Step 5: Solve for x
    x = 507,433,756.95/34,706.94
  6. Step 6: Final answer
    x = 14,620.53

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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.