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Finding the Fourth Proportional to 32,828.49, 49,235.54 and 9,449.85

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Solution

The fourth proportional to 32,828.49, 49,235.54 and 9,449.85 is: 14,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,828.49 : 49,235.54 = 9,449.85 : x
  2. Step 2: Convert to fraction form
    32,828.49/49,235.54 = 9,449.85/x
  3. Step 3: Cross multiply
    32,828.49x = 49,235.54 × 9,449.85
  4. Step 4: Simplify right side
    32,828.49x = 465,268,420.42
  5. Step 5: Solve for x
    x = 465,268,420.42/32,828.49
  6. Step 6: Final answer
    x = 14,172.70

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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.