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Finding the Fourth Proportional to 30,194.75, 45,304.92 and 16,151.12

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Solution

The fourth proportional to 30,194.75, 45,304.92 and 16,151.12 is: 24,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.75 : 45,304.92 = 16,151.12 : x
  2. Step 2: Convert to fraction form
    30,194.75/45,304.92 = 16,151.12/x
  3. Step 3: Cross multiply
    30,194.75x = 45,304.92 × 16,151.12
  4. Step 4: Simplify right side
    30,194.75x = 731,725,199.51
  5. Step 5: Solve for x
    x = 731,725,199.51/30,194.75
  6. Step 6: Final answer
    x = 24,233.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.