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Finding the Fourth Proportional to 32,135.67, 48,200.81 and 11,075.67

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Solution

The fourth proportional to 32,135.67, 48,200.81 and 11,075.67 is: 16,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.67 : 48,200.81 = 11,075.67 : x
  2. Step 2: Convert to fraction form
    32,135.67/48,200.81 = 11,075.67/x
  3. Step 3: Cross multiply
    32,135.67x = 48,200.81 × 11,075.67
  4. Step 4: Simplify right side
    32,135.67x = 533,856,209.91
  5. Step 5: Solve for x
    x = 533,856,209.91/32,135.67
  6. Step 6: Final answer
    x = 16,612.57

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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.