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Finding the Fourth Proportional to 34,793.53, 52,192.06 and 9,835.38

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Solution

The fourth proportional to 34,793.53, 52,192.06 and 9,835.38 is: 14,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,793.53 : 52,192.06 = 9,835.38 : x
  2. Step 2: Convert to fraction form
    34,793.53/52,192.06 = 9,835.38/x
  3. Step 3: Cross multiply
    34,793.53x = 52,192.06 × 9,835.38
  4. Step 4: Simplify right side
    34,793.53x = 513,328,718.49
  5. Step 5: Solve for x
    x = 513,328,718.49/34,793.53
  6. Step 6: Final answer
    x = 14,753.57

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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.