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Finding the Fourth Proportional to 32,461.43, 48,662.76 and 12,734.69

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Solution

The fourth proportional to 32,461.43, 48,662.76 and 12,734.69 is: 19,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461.43 : 48,662.76 = 12,734.69 : x
  2. Step 2: Convert to fraction form
    32,461.43/48,662.76 = 12,734.69/x
  3. Step 3: Cross multiply
    32,461.43x = 48,662.76 × 12,734.69
  4. Step 4: Simplify right side
    32,461.43x = 619,705,163.14
  5. Step 5: Solve for x
    x = 619,705,163.14/32,461.43
  6. Step 6: Final answer
    x = 19,090.51

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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.