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Finding the Fourth Proportional to 30,894.48, 42,633.24 and 16,747.02

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Solution

The fourth proportional to 30,894.48, 42,633.24 and 16,747.02 is: 23,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.48 : 42,633.24 = 16,747.02 : x
  2. Step 2: Convert to fraction form
    30,894.48/42,633.24 = 16,747.02/x
  3. Step 3: Cross multiply
    30,894.48x = 42,633.24 × 16,747.02
  4. Step 4: Simplify right side
    30,894.48x = 713,979,722.94
  5. Step 5: Solve for x
    x = 713,979,722.94/30,894.48
  6. Step 6: Final answer
    x = 23,110.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.