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Finding the Fourth Proportional to 32,966, 49,455.20 and 13,246.12

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Solution

The fourth proportional to 32,966, 49,455.20 and 13,246.12 is: 19,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,966 : 49,455.20 = 13,246.12 : x
  2. Step 2: Convert to fraction form
    32,966/49,455.20 = 13,246.12/x
  3. Step 3: Cross multiply
    32,966x = 49,455.20 × 13,246.12
  4. Step 4: Simplify right side
    32,966x = 655,089,513.82
  5. Step 5: Solve for x
    x = 655,089,513.82/32,966
  6. Step 6: Final answer
    x = 19,871.67

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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.