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Finding the Fourth Proportional to 56,811, 78,317.20 and 39,762.48

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Solution

The fourth proportional to 56,811, 78,317.20 and 39,762.48 is: 54,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,811 : 78,317.20 = 39,762.48 : x
  2. Step 2: Convert to fraction form
    56,811/78,317.20 = 39,762.48/x
  3. Step 3: Cross multiply
    56,811x = 78,317.20 × 39,762.48
  4. Step 4: Simplify right side
    56,811x = 3,114,086,098.66
  5. Step 5: Solve for x
    x = 3,114,086,098.66/56,811
  6. Step 6: Final answer
    x = 54,814.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.