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Finding the Fourth Proportional to 30,257.19, 45,385.79 and 9,197.42

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Solution

The fourth proportional to 30,257.19, 45,385.79 and 9,197.42 is: 13,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.19 : 45,385.79 = 9,197.42 : x
  2. Step 2: Convert to fraction form
    30,257.19/45,385.79 = 9,197.42/x
  3. Step 3: Cross multiply
    30,257.19x = 45,385.79 × 9,197.42
  4. Step 4: Simplify right side
    30,257.19x = 417,431,899.75
  5. Step 5: Solve for x
    x = 417,431,899.75/30,257.19
  6. Step 6: Final answer
    x = 13,796.12

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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.