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Finding the Fourth Proportional to 38,376.98, 57,482.15 and 18,614

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Solution

The fourth proportional to 38,376.98, 57,482.15 and 18,614 is: 27,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,376.98 : 57,482.15 = 18,614 : x
  2. Step 2: Convert to fraction form
    38,376.98/57,482.15 = 18,614/x
  3. Step 3: Cross multiply
    38,376.98x = 57,482.15 × 18,614
  4. Step 4: Simplify right side
    38,376.98x = 1,069,972,647.03
  5. Step 5: Solve for x
    x = 1,069,972,647.03/38,376.98
  6. Step 6: Final answer
    x = 27,880.58

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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.