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Finding the Fourth Proportional to 32,960.91, 49,435.99 and 9,270.08

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Solution

The fourth proportional to 32,960.91, 49,435.99 and 9,270.08 is: 13,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960.91 : 49,435.99 = 9,270.08 : x
  2. Step 2: Convert to fraction form
    32,960.91/49,435.99 = 9,270.08/x
  3. Step 3: Cross multiply
    32,960.91x = 49,435.99 × 9,270.08
  4. Step 4: Simplify right side
    32,960.91x = 458,275,311.82
  5. Step 5: Solve for x
    x = 458,275,311.82/32,960.91
  6. Step 6: Final answer
    x = 13,903.60

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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.