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Finding the Fourth Proportional to 30,811.68, 46,223.28 and 12,345.12

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Solution

The fourth proportional to 30,811.68, 46,223.28 and 12,345.12 is: 18,519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.68 : 46,223.28 = 12,345.12 : x
  2. Step 2: Convert to fraction form
    30,811.68/46,223.28 = 12,345.12/x
  3. Step 3: Cross multiply
    30,811.68x = 46,223.28 × 12,345.12
  4. Step 4: Simplify right side
    30,811.68x = 570,631,938.39
  5. Step 5: Solve for x
    x = 570,631,938.39/30,811.68
  6. Step 6: Final answer
    x = 18,519.99

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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.