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Finding the Fourth Proportional to 29,842.50, 44,754.20 and 9,847.52

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Solution

The fourth proportional to 29,842.50, 44,754.20 and 9,847.52 is: 14,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842.50 : 44,754.20 = 9,847.52 : x
  2. Step 2: Convert to fraction form
    29,842.50/44,754.20 = 9,847.52/x
  3. Step 3: Cross multiply
    29,842.50x = 44,754.20 × 9,847.52
  4. Step 4: Simplify right side
    29,842.50x = 440,717,606.58
  5. Step 5: Solve for x
    x = 440,717,606.58/29,842.50
  6. Step 6: Final answer
    x = 14,768.12

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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.