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Finding the Fourth Proportional to 45,544.75, 68,317.13 and 14,380

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Solution

The fourth proportional to 45,544.75, 68,317.13 and 14,380 is: 21,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,544.75 : 68,317.13 = 14,380 : x
  2. Step 2: Convert to fraction form
    45,544.75/68,317.13 = 14,380/x
  3. Step 3: Cross multiply
    45,544.75x = 68,317.13 × 14,380
  4. Step 4: Simplify right side
    45,544.75x = 982,400,329.40
  5. Step 5: Solve for x
    x = 982,400,329.40/45,544.75
  6. Step 6: Final answer
    x = 21,570.00

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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.