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Finding the Fourth Proportional to 32,457.43, 48,685.83 and 10,270.81

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Solution

The fourth proportional to 32,457.43, 48,685.83 and 10,270.81 is: 15,406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457.43 : 48,685.83 = 10,270.81 : x
  2. Step 2: Convert to fraction form
    32,457.43/48,685.83 = 10,270.81/x
  3. Step 3: Cross multiply
    32,457.43x = 48,685.83 × 10,270.81
  4. Step 4: Simplify right side
    32,457.43x = 500,042,909.62
  5. Step 5: Solve for x
    x = 500,042,909.62/32,457.43
  6. Step 6: Final answer
    x = 15,406.12

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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.