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Finding the Fourth Proportional to 76,525.32, 105,604.38 and 42,991.32

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Solution

The fourth proportional to 76,525.32, 105,604.38 and 42,991.32 is: 59,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,525.32 : 105,604.38 = 42,991.32 : x
  2. Step 2: Convert to fraction form
    76,525.32/105,604.38 = 42,991.32/x
  3. Step 3: Cross multiply
    76,525.32x = 105,604.38 × 42,991.32
  4. Step 4: Simplify right side
    76,525.32x = 4,540,071,693.98
  5. Step 5: Solve for x
    x = 4,540,071,693.98/76,525.32
  6. Step 6: Final answer
    x = 59,327.71

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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.