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Finding the Fourth Proportional to 30,054, 41,474.52 and 16,806

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Solution

The fourth proportional to 30,054, 41,474.52 and 16,806 is: 23,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,054 : 41,474.52 = 16,806 : x
  2. Step 2: Convert to fraction form
    30,054/41,474.52 = 16,806/x
  3. Step 3: Cross multiply
    30,054x = 41,474.52 × 16,806
  4. Step 4: Simplify right side
    30,054x = 697,020,783.12
  5. Step 5: Solve for x
    x = 697,020,783.12/30,054
  6. Step 6: Final answer
    x = 23,192.28

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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.