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Finding the Fourth Proportional to 32,967.18, 49,453.81 and 10,780.67

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Solution

The fourth proportional to 32,967.18, 49,453.81 and 10,780.67 is: 16,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.18 : 49,453.81 = 10,780.67 : x
  2. Step 2: Convert to fraction form
    32,967.18/49,453.81 = 10,780.67/x
  3. Step 3: Cross multiply
    32,967.18x = 49,453.81 × 10,780.67
  4. Step 4: Simplify right side
    32,967.18x = 533,145,205.85
  5. Step 5: Solve for x
    x = 533,145,205.85/32,967.18
  6. Step 6: Final answer
    x = 16,172.00

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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.