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Finding the Fourth Proportional to 49,507.44, 74,280.60 and 21,786

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Solution

The fourth proportional to 49,507.44, 74,280.60 and 21,786 is: 32,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,507.44 : 74,280.60 = 21,786 : x
  2. Step 2: Convert to fraction form
    49,507.44/74,280.60 = 21,786/x
  3. Step 3: Cross multiply
    49,507.44x = 74,280.60 × 21,786
  4. Step 4: Simplify right side
    49,507.44x = 1,618,277,151.60
  5. Step 5: Solve for x
    x = 1,618,277,151.60/49,507.44
  6. Step 6: Final answer
    x = 32,687.55

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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.