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Finding the Fourth Proportional to 32,679.95, 49,022.64 and 12,958.67

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Solution

The fourth proportional to 32,679.95, 49,022.64 and 12,958.67 is: 19,439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,679.95 : 49,022.64 = 12,958.67 : x
  2. Step 2: Convert to fraction form
    32,679.95/49,022.64 = 12,958.67/x
  3. Step 3: Cross multiply
    32,679.95x = 49,022.64 × 12,958.67
  4. Step 4: Simplify right side
    32,679.95x = 635,267,969.18
  5. Step 5: Solve for x
    x = 635,267,969.18/32,679.95
  6. Step 6: Final answer
    x = 19,439.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.