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Finding the Fourth Proportional to 55,430.77, 76,493.31 and 31,232.98

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Solution

The fourth proportional to 55,430.77, 76,493.31 and 31,232.98 is: 43,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,430.77 : 76,493.31 = 31,232.98 : x
  2. Step 2: Convert to fraction form
    55,430.77/76,493.31 = 31,232.98/x
  3. Step 3: Cross multiply
    55,430.77x = 76,493.31 × 31,232.98
  4. Step 4: Simplify right side
    55,430.77x = 2,389,114,021.36
  5. Step 5: Solve for x
    x = 2,389,114,021.36/55,430.77
  6. Step 6: Final answer
    x = 43,100.86

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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.