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Finding the Fourth Proportional to 32,461.34, 48,694.81 and 11,399.58

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Solution

The fourth proportional to 32,461.34, 48,694.81 and 11,399.58 is: 17,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461.34 : 48,694.81 = 11,399.58 : x
  2. Step 2: Convert to fraction form
    32,461.34/48,694.81 = 11,399.58/x
  3. Step 3: Cross multiply
    32,461.34x = 48,694.81 × 11,399.58
  4. Step 4: Simplify right side
    32,461.34x = 555,100,231.94
  5. Step 5: Solve for x
    x = 555,100,231.94/32,461.34
  6. Step 6: Final answer
    x = 17,100.35

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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.