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Finding the Fourth Proportional to 29,396.63, 44,078.34 and 9,669.89

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Solution

The fourth proportional to 29,396.63, 44,078.34 and 9,669.89 is: 14,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,396.63 : 44,078.34 = 9,669.89 : x
  2. Step 2: Convert to fraction form
    29,396.63/44,078.34 = 9,669.89/x
  3. Step 3: Cross multiply
    29,396.63x = 44,078.34 × 9,669.89
  4. Step 4: Simplify right side
    29,396.63x = 426,232,699.18
  5. Step 5: Solve for x
    x = 426,232,699.18/29,396.63
  6. Step 6: Final answer
    x = 14,499.37

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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.