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Finding the Fourth Proportional to 29,838.72, 44,766.72 and 12,305.28

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Solution

The fourth proportional to 29,838.72, 44,766.72 and 12,305.28 is: 18,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.72 : 44,766.72 = 12,305.28 : x
  2. Step 2: Convert to fraction form
    29,838.72/44,766.72 = 12,305.28/x
  3. Step 3: Cross multiply
    29,838.72x = 44,766.72 × 12,305.28
  4. Step 4: Simplify right side
    29,838.72x = 550,867,024.28
  5. Step 5: Solve for x
    x = 550,867,024.28/29,838.72
  6. Step 6: Final answer
    x = 18,461.48

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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.