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Finding the Fourth Proportional to 32,803.29, 49,204.98 and 9,429.78

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Solution

The fourth proportional to 32,803.29, 49,204.98 and 9,429.78 is: 14,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,803.29 : 49,204.98 = 9,429.78 : x
  2. Step 2: Convert to fraction form
    32,803.29/49,204.98 = 9,429.78/x
  3. Step 3: Cross multiply
    32,803.29x = 49,204.98 × 9,429.78
  4. Step 4: Simplify right side
    32,803.29x = 463,992,136.30
  5. Step 5: Solve for x
    x = 463,992,136.30/32,803.29
  6. Step 6: Final answer
    x = 14,144.68

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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.