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Finding the Fourth Proportional to 30,323.58, 41,846.27 and 16,894.59

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Solution

The fourth proportional to 30,323.58, 41,846.27 and 16,894.59 is: 23,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,323.58 : 41,846.27 = 16,894.59 : x
  2. Step 2: Convert to fraction form
    30,323.58/41,846.27 = 16,894.59/x
  3. Step 3: Cross multiply
    30,323.58x = 41,846.27 × 16,894.59
  4. Step 4: Simplify right side
    30,323.58x = 706,975,490.21
  5. Step 5: Solve for x
    x = 706,975,490.21/30,323.58
  6. Step 6: Final answer
    x = 23,314.38

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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.