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Finding the Fourth Proportional to 126,406.90, 189,637.70 and 37,667.55

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Solution

The fourth proportional to 126,406.90, 189,637.70 and 37,667.55 is: 56,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,406.90 : 189,637.70 = 37,667.55 : x
  2. Step 2: Convert to fraction form
    126,406.90/189,637.70 = 37,667.55/x
  3. Step 3: Cross multiply
    126,406.90x = 189,637.70 × 37,667.55
  4. Step 4: Simplify right side
    126,406.90x = 7,143,188,069.44
  5. Step 5: Solve for x
    x = 7,143,188,069.44/126,406.90
  6. Step 6: Final answer
    x = 56,509.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.