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Finding the Fourth Proportional to 29,849.60, 44,774 and 7,662.88

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Solution

The fourth proportional to 29,849.60, 44,774 and 7,662.88 is: 11,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,849.60 : 44,774 = 7,662.88 : x
  2. Step 2: Convert to fraction form
    29,849.60/44,774 = 7,662.88/x
  3. Step 3: Cross multiply
    29,849.60x = 44,774 × 7,662.88
  4. Step 4: Simplify right side
    29,849.60x = 343,097,789.12
  5. Step 5: Solve for x
    x = 343,097,789.12/29,849.60
  6. Step 6: Final answer
    x = 11,494.22

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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.