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Finding the Fourth Proportional to 56,814.39, 78,404.41 and 31,321.77

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Solution

The fourth proportional to 56,814.39, 78,404.41 and 31,321.77 is: 43,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,814.39 : 78,404.41 = 31,321.77 : x
  2. Step 2: Convert to fraction form
    56,814.39/78,404.41 = 31,321.77/x
  3. Step 3: Cross multiply
    56,814.39x = 78,404.41 × 31,321.77
  4. Step 4: Simplify right side
    56,814.39x = 2,455,764,741.60
  5. Step 5: Solve for x
    x = 2,455,764,741.60/56,814.39
  6. Step 6: Final answer
    x = 43,224.35

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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.