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Finding the Fourth Proportional to 29,700.96, 44,542.12 and 9,705.89

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Solution

The fourth proportional to 29,700.96, 44,542.12 and 9,705.89 is: 14,555.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,700.96 : 44,542.12 = 9,705.89 : x
  2. Step 2: Convert to fraction form
    29,700.96/44,542.12 = 9,705.89/x
  3. Step 3: Cross multiply
    29,700.96x = 44,542.12 × 9,705.89
  4. Step 4: Simplify right side
    29,700.96x = 432,320,917.09
  5. Step 5: Solve for x
    x = 432,320,917.09/29,700.96
  6. Step 6: Final answer
    x = 14,555.79

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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.