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Finding the Fourth Proportional to 29,832.62, 44,757.81 and 12,303.50

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Solution

The fourth proportional to 29,832.62, 44,757.81 and 12,303.50 is: 18,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832.62 : 44,757.81 = 12,303.50 : x
  2. Step 2: Convert to fraction form
    29,832.62/44,757.81 = 12,303.50/x
  3. Step 3: Cross multiply
    29,832.62x = 44,757.81 × 12,303.50
  4. Step 4: Simplify right side
    29,832.62x = 550,677,715.34
  5. Step 5: Solve for x
    x = 550,677,715.34/29,832.62
  6. Step 6: Final answer
    x = 18,458.91

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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.