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Finding the Fourth Proportional to 30,093.12, 45,048.96 and 16,200

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Solution

The fourth proportional to 30,093.12, 45,048.96 and 16,200 is: 24,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,093.12 : 45,048.96 = 16,200 : x
  2. Step 2: Convert to fraction form
    30,093.12/45,048.96 = 16,200/x
  3. Step 3: Cross multiply
    30,093.12x = 45,048.96 × 16,200
  4. Step 4: Simplify right side
    30,093.12x = 729,793,152
  5. Step 5: Solve for x
    x = 729,793,152/30,093.12
  6. Step 6: Final answer
    x = 24,251.16

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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.