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Finding the Fourth Proportional to 32,718.33, 49,086 and 9,346.59

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Solution

The fourth proportional to 32,718.33, 49,086 and 9,346.59 is: 14,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,718.33 : 49,086 = 9,346.59 : x
  2. Step 2: Convert to fraction form
    32,718.33/49,086 = 9,346.59/x
  3. Step 3: Cross multiply
    32,718.33x = 49,086 × 9,346.59
  4. Step 4: Simplify right side
    32,718.33x = 458,786,716.74
  5. Step 5: Solve for x
    x = 458,786,716.74/32,718.33
  6. Step 6: Final answer
    x = 14,022.31

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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.