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Finding the Fourth Proportional to 32,289.98, 48,457.01 and 11,229.81

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Solution

The fourth proportional to 32,289.98, 48,457.01 and 11,229.81 is: 16,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,289.98 : 48,457.01 = 11,229.81 : x
  2. Step 2: Convert to fraction form
    32,289.98/48,457.01 = 11,229.81/x
  3. Step 3: Cross multiply
    32,289.98x = 48,457.01 × 11,229.81
  4. Step 4: Simplify right side
    32,289.98x = 544,163,164.69
  5. Step 5: Solve for x
    x = 544,163,164.69/32,289.98
  6. Step 6: Final answer
    x = 16,852.38

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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.