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Finding the Fourth Proportional to 34,154.40, 51,231.60 and 9,530.40

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Solution

The fourth proportional to 34,154.40, 51,231.60 and 9,530.40 is: 14,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,154.40 : 51,231.60 = 9,530.40 : x
  2. Step 2: Convert to fraction form
    34,154.40/51,231.60 = 9,530.40/x
  3. Step 3: Cross multiply
    34,154.40x = 51,231.60 × 9,530.40
  4. Step 4: Simplify right side
    34,154.40x = 488,257,640.64
  5. Step 5: Solve for x
    x = 488,257,640.64/34,154.40
  6. Step 6: Final answer
    x = 14,295.60

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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.