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Finding the Fourth Proportional to 126,513.26, 189,763.40 and 37,767.50

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Solution

The fourth proportional to 126,513.26, 189,763.40 and 37,767.50 is: 56,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,513.26 : 189,763.40 = 37,767.50 : x
  2. Step 2: Convert to fraction form
    126,513.26/189,763.40 = 37,767.50/x
  3. Step 3: Cross multiply
    126,513.26x = 189,763.40 × 37,767.50
  4. Step 4: Simplify right side
    126,513.26x = 7,166,888,355.10
  5. Step 5: Solve for x
    x = 7,166,888,355.10/126,513.26
  6. Step 6: Final answer
    x = 56,649.31

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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.