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Finding the Fourth Proportional to 32,946.54, 49,424.54 and 10,754.43

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Solution

The fourth proportional to 32,946.54, 49,424.54 and 10,754.43 is: 16,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946.54 : 49,424.54 = 10,754.43 : x
  2. Step 2: Convert to fraction form
    32,946.54/49,424.54 = 10,754.43/x
  3. Step 3: Cross multiply
    32,946.54x = 49,424.54 × 10,754.43
  4. Step 4: Simplify right side
    32,946.54x = 531,532,755.71
  5. Step 5: Solve for x
    x = 531,532,755.71/32,946.54
  6. Step 6: Final answer
    x = 16,133.19

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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.