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Finding the Fourth Proportional to 30,538.20, 45,813.84 and 9,477.80

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Solution

The fourth proportional to 30,538.20, 45,813.84 and 9,477.80 is: 14,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.20 : 45,813.84 = 9,477.80 : x
  2. Step 2: Convert to fraction form
    30,538.20/45,813.84 = 9,477.80/x
  3. Step 3: Cross multiply
    30,538.20x = 45,813.84 × 9,477.80
  4. Step 4: Simplify right side
    30,538.20x = 434,214,412.75
  5. Step 5: Solve for x
    x = 434,214,412.75/30,538.20
  6. Step 6: Final answer
    x = 14,218.73

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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.