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Finding the Fourth Proportional to 30,911.94, 46,306.08 and 14,249.16

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Solution

The fourth proportional to 30,911.94, 46,306.08 and 14,249.16 is: 21,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,911.94 : 46,306.08 = 14,249.16 : x
  2. Step 2: Convert to fraction form
    30,911.94/46,306.08 = 14,249.16/x
  3. Step 3: Cross multiply
    30,911.94x = 46,306.08 × 14,249.16
  4. Step 4: Simplify right side
    30,911.94x = 659,822,742.89
  5. Step 5: Solve for x
    x = 659,822,742.89/30,911.94
  6. Step 6: Final answer
    x = 21,345.24

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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.