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Finding the Fourth Proportional to 30,790.86, 46,191.15 and 10,009.50

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Solution

The fourth proportional to 30,790.86, 46,191.15 and 10,009.50 is: 15,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,790.86 : 46,191.15 = 10,009.50 : x
  2. Step 2: Convert to fraction form
    30,790.86/46,191.15 = 10,009.50/x
  3. Step 3: Cross multiply
    30,790.86x = 46,191.15 × 10,009.50
  4. Step 4: Simplify right side
    30,790.86x = 462,350,315.93
  5. Step 5: Solve for x
    x = 462,350,315.93/30,790.86
  6. Step 6: Final answer
    x = 15,015.83

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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.