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Finding the Fourth Proportional to 30,760.08, 46,110.96 and 9,969

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Solution

The fourth proportional to 30,760.08, 46,110.96 and 9,969 is: 14,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760.08 : 46,110.96 = 9,969 : x
  2. Step 2: Convert to fraction form
    30,760.08/46,110.96 = 9,969/x
  3. Step 3: Cross multiply
    30,760.08x = 46,110.96 × 9,969
  4. Step 4: Simplify right side
    30,760.08x = 459,680,160.24
  5. Step 5: Solve for x
    x = 459,680,160.24/30,760.08
  6. Step 6: Final answer
    x = 14,944.05

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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.