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Finding the Fourth Proportional to 49,714.50, 74,571.32 and 14,653.64

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Solution

The fourth proportional to 49,714.50, 74,571.32 and 14,653.64 is: 21,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,714.50 : 74,571.32 = 14,653.64 : x
  2. Step 2: Convert to fraction form
    49,714.50/74,571.32 = 14,653.64/x
  3. Step 3: Cross multiply
    49,714.50x = 74,571.32 × 14,653.64
  4. Step 4: Simplify right side
    49,714.50x = 1,092,741,277.60
  5. Step 5: Solve for x
    x = 1,092,741,277.60/49,714.50
  6. Step 6: Final answer
    x = 21,980.33

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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.