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Finding the Fourth Proportional to 32,485.46, 48,699.02 and 11,694.38

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Solution

The fourth proportional to 32,485.46, 48,699.02 and 11,694.38 is: 17,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,485.46 : 48,699.02 = 11,694.38 : x
  2. Step 2: Convert to fraction form
    32,485.46/48,699.02 = 11,694.38/x
  3. Step 3: Cross multiply
    32,485.46x = 48,699.02 × 11,694.38
  4. Step 4: Simplify right side
    32,485.46x = 569,504,631.25
  5. Step 5: Solve for x
    x = 569,504,631.25/32,485.46
  6. Step 6: Final answer
    x = 17,531.07

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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.