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Finding the Fourth Proportional to 43,075, 59,447.15 and 24,215.77

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Solution

The fourth proportional to 43,075, 59,447.15 and 24,215.77 is: 33,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,075 : 59,447.15 = 24,215.77 : x
  2. Step 2: Convert to fraction form
    43,075/59,447.15 = 24,215.77/x
  3. Step 3: Cross multiply
    43,075x = 59,447.15 × 24,215.77
  4. Step 4: Simplify right side
    43,075x = 1,439,558,511.56
  5. Step 5: Solve for x
    x = 1,439,558,511.56/43,075
  6. Step 6: Final answer
    x = 33,419.81

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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.