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Finding the Fourth Proportional to 32,035.67, 48,020.06 and 10,969.50

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Solution

The fourth proportional to 32,035.67, 48,020.06 and 10,969.50 is: 16,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,035.67 : 48,020.06 = 10,969.50 : x
  2. Step 2: Convert to fraction form
    32,035.67/48,020.06 = 10,969.50/x
  3. Step 3: Cross multiply
    32,035.67x = 48,020.06 × 10,969.50
  4. Step 4: Simplify right side
    32,035.67x = 526,756,048.17
  5. Step 5: Solve for x
    x = 526,756,048.17/32,035.67
  6. Step 6: Final answer
    x = 16,442.80

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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.