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Finding the Fourth Proportional to 49,717.50, 74,575.82 and 14,656.64

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Solution

The fourth proportional to 49,717.50, 74,575.82 and 14,656.64 is: 21,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,717.50 : 74,575.82 = 14,656.64 : x
  2. Step 2: Convert to fraction form
    49,717.50/74,575.82 = 14,656.64/x
  3. Step 3: Cross multiply
    49,717.50x = 74,575.82 × 14,656.64
  4. Step 4: Simplify right side
    49,717.50x = 1,093,030,946.44
  5. Step 5: Solve for x
    x = 1,093,030,946.44/49,717.50
  6. Step 6: Final answer
    x = 21,984.83

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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.