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Finding the Fourth Proportional to 30,294, 41,804.46 and 16,865.82

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Solution

The fourth proportional to 30,294, 41,804.46 and 16,865.82 is: 23,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294 : 41,804.46 = 16,865.82 : x
  2. Step 2: Convert to fraction form
    30,294/41,804.46 = 16,865.82/x
  3. Step 3: Cross multiply
    30,294x = 41,804.46 × 16,865.82
  4. Step 4: Simplify right side
    30,294x = 705,066,497.56
  5. Step 5: Solve for x
    x = 705,066,497.56/30,294
  6. Step 6: Final answer
    x = 23,274.13

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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.