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Finding the Fourth Proportional to 109,878.46, 164,821.74 and 30,994.80

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Solution

The fourth proportional to 109,878.46, 164,821.74 and 30,994.80 is: 46,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,878.46 : 164,821.74 = 30,994.80 : x
  2. Step 2: Convert to fraction form
    109,878.46/164,821.74 = 30,994.80/x
  3. Step 3: Cross multiply
    109,878.46x = 164,821.74 × 30,994.80
  4. Step 4: Simplify right side
    109,878.46x = 5,108,616,866.95
  5. Step 5: Solve for x
    x = 5,108,616,866.95/109,878.46
  6. Step 6: Final answer
    x = 46,493.34

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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.