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Finding the Fourth Proportional to 33,564.38, 46,315.80 and 18,457.67

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Solution

The fourth proportional to 33,564.38, 46,315.80 and 18,457.67 is: 25,469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564.38 : 46,315.80 = 18,457.67 : x
  2. Step 2: Convert to fraction form
    33,564.38/46,315.80 = 18,457.67/x
  3. Step 3: Cross multiply
    33,564.38x = 46,315.80 × 18,457.67
  4. Step 4: Simplify right side
    33,564.38x = 854,881,867.98
  5. Step 5: Solve for x
    x = 854,881,867.98/33,564.38
  6. Step 6: Final answer
    x = 25,469.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.