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Finding the Fourth Proportional to 30,105.90, 45,159.03 and 12,346.29

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Solution

The fourth proportional to 30,105.90, 45,159.03 and 12,346.29 is: 18,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105.90 : 45,159.03 = 12,346.29 : x
  2. Step 2: Convert to fraction form
    30,105.90/45,159.03 = 12,346.29/x
  3. Step 3: Cross multiply
    30,105.90x = 45,159.03 × 12,346.29
  4. Step 4: Simplify right side
    30,105.90x = 557,546,480.50
  5. Step 5: Solve for x
    x = 557,546,480.50/30,105.90
  6. Step 6: Final answer
    x = 18,519.51

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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.