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Finding the Fourth Proportional to 32,025.27, 48,042 and 12,301.26

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Solution

The fourth proportional to 32,025.27, 48,042 and 12,301.26 is: 18,453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,025.27 : 48,042 = 12,301.26 : x
  2. Step 2: Convert to fraction form
    32,025.27/48,042 = 12,301.26/x
  3. Step 3: Cross multiply
    32,025.27x = 48,042 × 12,301.26
  4. Step 4: Simplify right side
    32,025.27x = 590,977,132.92
  5. Step 5: Solve for x
    x = 590,977,132.92/32,025.27
  6. Step 6: Final answer
    x = 18,453.46

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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.