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Finding the Fourth Proportional to 29,705.36, 44,572.71 and 13,911.50

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Solution

The fourth proportional to 29,705.36, 44,572.71 and 13,911.50 is: 20,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,705.36 : 44,572.71 = 13,911.50 : x
  2. Step 2: Convert to fraction form
    29,705.36/44,572.71 = 13,911.50/x
  3. Step 3: Cross multiply
    29,705.36x = 44,572.71 × 13,911.50
  4. Step 4: Simplify right side
    29,705.36x = 620,073,032.30
  5. Step 5: Solve for x
    x = 620,073,032.30/29,705.36
  6. Step 6: Final answer
    x = 20,874.12

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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.