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Finding the Fourth Proportional to 30,052, 41,473.68 and 16,804

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Solution

The fourth proportional to 30,052, 41,473.68 and 16,804 is: 23,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,052 : 41,473.68 = 16,804 : x
  2. Step 2: Convert to fraction form
    30,052/41,473.68 = 16,804/x
  3. Step 3: Cross multiply
    30,052x = 41,473.68 × 16,804
  4. Step 4: Simplify right side
    30,052x = 696,923,718.72
  5. Step 5: Solve for x
    x = 696,923,718.72/30,052
  6. Step 6: Final answer
    x = 23,190.59

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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.