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Finding the Fourth Proportional to 33,518.84, 46,255.80 and 18,205.40

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Solution

The fourth proportional to 33,518.84, 46,255.80 and 18,205.40 is: 25,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,518.84 : 46,255.80 = 18,205.40 : x
  2. Step 2: Convert to fraction form
    33,518.84/46,255.80 = 18,205.40/x
  3. Step 3: Cross multiply
    33,518.84x = 46,255.80 × 18,205.40
  4. Step 4: Simplify right side
    33,518.84x = 842,105,341.32
  5. Step 5: Solve for x
    x = 842,105,341.32/33,518.84
  6. Step 6: Final answer
    x = 25,123.34

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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.