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Finding the Fourth Proportional to 29,829.60, 44,744.00 and 7,642.89

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Solution

The fourth proportional to 29,829.60, 44,744.00 and 7,642.89 is: 11,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829.60 : 44,744.00 = 7,642.89 : x
  2. Step 2: Convert to fraction form
    29,829.60/44,744.00 = 7,642.89/x
  3. Step 3: Cross multiply
    29,829.60x = 44,744.00 × 7,642.89
  4. Step 4: Simplify right side
    29,829.60x = 341,973,431.95
  5. Step 5: Solve for x
    x = 341,973,431.95/29,829.60
  6. Step 6: Final answer
    x = 11,464.23

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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.