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Finding the Fourth Proportional to 32,836.24, 49,247.16 and 9,457.60

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Solution

The fourth proportional to 32,836.24, 49,247.16 and 9,457.60 is: 14,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,836.24 : 49,247.16 = 9,457.60 : x
  2. Step 2: Convert to fraction form
    32,836.24/49,247.16 = 9,457.60/x
  3. Step 3: Cross multiply
    32,836.24x = 49,247.16 × 9,457.60
  4. Step 4: Simplify right side
    32,836.24x = 465,759,940.42
  5. Step 5: Solve for x
    x = 465,759,940.42/32,836.24
  6. Step 6: Final answer
    x = 14,184.33

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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.