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Finding the Fourth Proportional to 30,497.98, 45,715.25 and 11,790.86

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Solution

The fourth proportional to 30,497.98, 45,715.25 and 11,790.86 is: 17,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.98 : 45,715.25 = 11,790.86 : x
  2. Step 2: Convert to fraction form
    30,497.98/45,715.25 = 11,790.86/x
  3. Step 3: Cross multiply
    30,497.98x = 45,715.25 × 11,790.86
  4. Step 4: Simplify right side
    30,497.98x = 539,022,226.90
  5. Step 5: Solve for x
    x = 539,022,226.90/30,497.98
  6. Step 6: Final answer
    x = 17,674.03

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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.