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Finding the Fourth Proportional to 34,189.53, 51,289.71 and 14,468.25

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Solution

The fourth proportional to 34,189.53, 51,289.71 and 14,468.25 is: 21,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,189.53 : 51,289.71 = 14,468.25 : x
  2. Step 2: Convert to fraction form
    34,189.53/51,289.71 = 14,468.25/x
  3. Step 3: Cross multiply
    34,189.53x = 51,289.71 × 14,468.25
  4. Step 4: Simplify right side
    34,189.53x = 742,072,346.71
  5. Step 5: Solve for x
    x = 742,072,346.71/34,189.53
  6. Step 6: Final answer
    x = 21,704.67

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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.