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Finding the Fourth Proportional to 32,333.85, 48,500.69 and 10,147.32

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Solution

The fourth proportional to 32,333.85, 48,500.69 and 10,147.32 is: 15,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,333.85 : 48,500.69 = 10,147.32 : x
  2. Step 2: Convert to fraction form
    32,333.85/48,500.69 = 10,147.32/x
  3. Step 3: Cross multiply
    32,333.85x = 48,500.69 × 10,147.32
  4. Step 4: Simplify right side
    32,333.85x = 492,151,970.91
  5. Step 5: Solve for x
    x = 492,151,970.91/32,333.85
  6. Step 6: Final answer
    x = 15,220.95

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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.