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Finding the Fourth Proportional to 30,775.68, 46,169.28 and 12,309.12

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Solution

The fourth proportional to 30,775.68, 46,169.28 and 12,309.12 is: 18,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.68 : 46,169.28 = 12,309.12 : x
  2. Step 2: Convert to fraction form
    30,775.68/46,169.28 = 12,309.12/x
  3. Step 3: Cross multiply
    30,775.68x = 46,169.28 × 12,309.12
  4. Step 4: Simplify right side
    30,775.68x = 568,303,207.83
  5. Step 5: Solve for x
    x = 568,303,207.83/30,775.68
  6. Step 6: Final answer
    x = 18,465.98

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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.