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Finding the Fourth Proportional to 52,057.32, 71,771.97 and 42,487.37

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Solution

The fourth proportional to 52,057.32, 71,771.97 and 42,487.37 is: 58,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,057.32 : 71,771.97 = 42,487.37 : x
  2. Step 2: Convert to fraction form
    52,057.32/71,771.97 = 42,487.37/x
  3. Step 3: Cross multiply
    52,057.32x = 71,771.97 × 42,487.37
  4. Step 4: Simplify right side
    52,057.32x = 3,049,402,314.63
  5. Step 5: Solve for x
    x = 3,049,402,314.63/52,057.32
  6. Step 6: Final answer
    x = 58,577.79

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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.