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Finding the Fourth Proportional to 30,914.12, 46,335.36 and 14,239.16

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Solution

The fourth proportional to 30,914.12, 46,335.36 and 14,239.16 is: 21,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.12 : 46,335.36 = 14,239.16 : x
  2. Step 2: Convert to fraction form
    30,914.12/46,335.36 = 14,239.16/x
  3. Step 3: Cross multiply
    30,914.12x = 46,335.36 × 14,239.16
  4. Step 4: Simplify right side
    30,914.12x = 659,776,604.70
  5. Step 5: Solve for x
    x = 659,776,604.70/30,914.12
  6. Step 6: Final answer
    x = 21,342.24

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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.