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Finding the Fourth Proportional to 32,604.54, 48,914.28 and 11,828.04

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Solution

The fourth proportional to 32,604.54, 48,914.28 and 11,828.04 is: 17,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,604.54 : 48,914.28 = 11,828.04 : x
  2. Step 2: Convert to fraction form
    32,604.54/48,914.28 = 11,828.04/x
  3. Step 3: Cross multiply
    32,604.54x = 48,914.28 × 11,828.04
  4. Step 4: Simplify right side
    32,604.54x = 578,560,060.41
  5. Step 5: Solve for x
    x = 578,560,060.41/32,604.54
  6. Step 6: Final answer
    x = 17,744.77

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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.