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Finding the Fourth Proportional to 32,457.27, 48,685.91 and 7,833.27

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Solution

The fourth proportional to 32,457.27, 48,685.91 and 7,833.27 is: 11,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457.27 : 48,685.91 = 7,833.27 : x
  2. Step 2: Convert to fraction form
    32,457.27/48,685.91 = 7,833.27/x
  3. Step 3: Cross multiply
    32,457.27x = 48,685.91 × 7,833.27
  4. Step 4: Simplify right side
    32,457.27x = 381,369,839.06
  5. Step 5: Solve for x
    x = 381,369,839.06/32,457.27
  6. Step 6: Final answer
    x = 11,749.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.