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Finding the Fourth Proportional to 32,969.68, 49,457.56 and 10,783.18

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Solution

The fourth proportional to 32,969.68, 49,457.56 and 10,783.18 is: 16,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.68 : 49,457.56 = 10,783.18 : x
  2. Step 2: Convert to fraction form
    32,969.68/49,457.56 = 10,783.18/x
  3. Step 3: Cross multiply
    32,969.68x = 49,457.56 × 10,783.18
  4. Step 4: Simplify right side
    32,969.68x = 533,309,771.84
  5. Step 5: Solve for x
    x = 533,309,771.84/32,969.68
  6. Step 6: Final answer
    x = 16,175.76

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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.