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Finding the Fourth Proportional to 29,984.52, 44,977.50 and 10,262.94

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Solution

The fourth proportional to 29,984.52, 44,977.50 and 10,262.94 is: 15,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,984.52 : 44,977.50 = 10,262.94 : x
  2. Step 2: Convert to fraction form
    29,984.52/44,977.50 = 10,262.94/x
  3. Step 3: Cross multiply
    29,984.52x = 44,977.50 × 10,262.94
  4. Step 4: Simplify right side
    29,984.52x = 461,601,383.85
  5. Step 5: Solve for x
    x = 461,601,383.85/29,984.52
  6. Step 6: Final answer
    x = 15,394.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.