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Finding the Fourth Proportional to 33,698.16, 46,503.62 and 18,591

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Solution

The fourth proportional to 33,698.16, 46,503.62 and 18,591 is: 25,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,698.16 : 46,503.62 = 18,591 : x
  2. Step 2: Convert to fraction form
    33,698.16/46,503.62 = 18,591/x
  3. Step 3: Cross multiply
    33,698.16x = 46,503.62 × 18,591
  4. Step 4: Simplify right side
    33,698.16x = 864,548,706.47
  5. Step 5: Solve for x
    x = 864,548,706.47/33,698.16
  6. Step 6: Final answer
    x = 25,655.67

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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.