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Finding the Fourth Proportional to 34,012.80, 51,038.88 and 14,289.60

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Solution

The fourth proportional to 34,012.80, 51,038.88 and 14,289.60 is: 21,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,012.80 : 51,038.88 = 14,289.60 : x
  2. Step 2: Convert to fraction form
    34,012.80/51,038.88 = 14,289.60/x
  3. Step 3: Cross multiply
    34,012.80x = 51,038.88 × 14,289.60
  4. Step 4: Simplify right side
    34,012.80x = 729,325,179.65
  5. Step 5: Solve for x
    x = 729,325,179.65/34,012.80
  6. Step 6: Final answer
    x = 21,442.67

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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.