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Finding the Fourth Proportional to 29,771.40, 44,661.60 and 9,774.24

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Solution

The fourth proportional to 29,771.40, 44,661.60 and 9,774.24 is: 14,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,771.40 : 44,661.60 = 9,774.24 : x
  2. Step 2: Convert to fraction form
    29,771.40/44,661.60 = 9,774.24/x
  3. Step 3: Cross multiply
    29,771.40x = 44,661.60 × 9,774.24
  4. Step 4: Simplify right side
    29,771.40x = 436,533,197.18
  5. Step 5: Solve for x
    x = 436,533,197.18/29,771.40
  6. Step 6: Final answer
    x = 14,662.84

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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.