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Finding the Fourth Proportional to 30,034, 41,446.94 and 16,786

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Solution

The fourth proportional to 30,034, 41,446.94 and 16,786 is: 23,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034 : 41,446.94 = 16,786 : x
  2. Step 2: Convert to fraction form
    30,034/41,446.94 = 16,786/x
  3. Step 3: Cross multiply
    30,034x = 41,446.94 × 16,786
  4. Step 4: Simplify right side
    30,034x = 695,728,334.84
  5. Step 5: Solve for x
    x = 695,728,334.84/30,034
  6. Step 6: Final answer
    x = 23,164.69

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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.