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Finding the Fourth Proportional to 29,354.34, 44,035.20 and 9,634.98

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Solution

The fourth proportional to 29,354.34, 44,035.20 and 9,634.98 is: 14,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,354.34 : 44,035.20 = 9,634.98 : x
  2. Step 2: Convert to fraction form
    29,354.34/44,035.20 = 9,634.98/x
  3. Step 3: Cross multiply
    29,354.34x = 44,035.20 × 9,634.98
  4. Step 4: Simplify right side
    29,354.34x = 424,278,271.30
  5. Step 5: Solve for x
    x = 424,278,271.30/29,354.34
  6. Step 6: Final answer
    x = 14,453.68

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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.