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Finding the Fourth Proportional to 49,365.24, 73,980.76 and 20,878.50

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Solution

The fourth proportional to 49,365.24, 73,980.76 and 20,878.50 is: 31,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,365.24 : 73,980.76 = 20,878.50 : x
  2. Step 2: Convert to fraction form
    49,365.24/73,980.76 = 20,878.50/x
  3. Step 3: Cross multiply
    49,365.24x = 73,980.76 × 20,878.50
  4. Step 4: Simplify right side
    49,365.24x = 1,544,607,297.66
  5. Step 5: Solve for x
    x = 1,544,607,297.66/49,365.24
  6. Step 6: Final answer
    x = 31,289.37

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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.