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Finding the Fourth Proportional to 29,794.92, 44,624.34 and 14,223.48

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Solution

The fourth proportional to 29,794.92, 44,624.34 and 14,223.48 is: 21,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,794.92 : 44,624.34 = 14,223.48 : x
  2. Step 2: Convert to fraction form
    29,794.92/44,624.34 = 14,223.48/x
  3. Step 3: Cross multiply
    29,794.92x = 44,624.34 × 14,223.48
  4. Step 4: Simplify right side
    29,794.92x = 634,713,407.50
  5. Step 5: Solve for x
    x = 634,713,407.50/29,794.92
  6. Step 6: Final answer
    x = 21,302.74

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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.