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Finding the Fourth Proportional to 30,212.98, 41,705.14 and 25,946.91

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Solution

The fourth proportional to 30,212.98, 41,705.14 and 25,946.91 is: 35,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212.98 : 41,705.14 = 25,946.91 : x
  2. Step 2: Convert to fraction form
    30,212.98/41,705.14 = 25,946.91/x
  3. Step 3: Cross multiply
    30,212.98x = 41,705.14 × 25,946.91
  4. Step 4: Simplify right side
    30,212.98x = 1,082,119,514.12
  5. Step 5: Solve for x
    x = 1,082,119,514.12/30,212.98
  6. Step 6: Final answer
    x = 35,816.38

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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.