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Finding the Fourth Proportional to 29,150.40, 43,714.80 and 9,429.60

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Solution

The fourth proportional to 29,150.40, 43,714.80 and 9,429.60 is: 14,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,150.40 : 43,714.80 = 9,429.60 : x
  2. Step 2: Convert to fraction form
    29,150.40/43,714.80 = 9,429.60/x
  3. Step 3: Cross multiply
    29,150.40x = 43,714.80 × 9,429.60
  4. Step 4: Simplify right side
    29,150.40x = 412,213,078.08
  5. Step 5: Solve for x
    x = 412,213,078.08/29,150.40
  6. Step 6: Final answer
    x = 14,140.91

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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.