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Finding the Fourth Proportional to 32,809.98, 49,222.80 and 10,623.38

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Solution

The fourth proportional to 32,809.98, 49,222.80 and 10,623.38 is: 15,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809.98 : 49,222.80 = 10,623.38 : x
  2. Step 2: Convert to fraction form
    32,809.98/49,222.80 = 10,623.38/x
  3. Step 3: Cross multiply
    32,809.98x = 49,222.80 × 10,623.38
  4. Step 4: Simplify right side
    32,809.98x = 522,912,509.06
  5. Step 5: Solve for x
    x = 522,912,509.06/32,809.98
  6. Step 6: Final answer
    x = 15,937.61

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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.