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Finding the Fourth Proportional to 126,595.40, 189,903.94 and 33,101

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Solution

The fourth proportional to 126,595.40, 189,903.94 and 33,101 is: 49,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,595.40 : 189,903.94 = 33,101 : x
  2. Step 2: Convert to fraction form
    126,595.40/189,903.94 = 33,101/x
  3. Step 3: Cross multiply
    126,595.40x = 189,903.94 × 33,101
  4. Step 4: Simplify right side
    126,595.40x = 6,286,010,317.94
  5. Step 5: Solve for x
    x = 6,286,010,317.94/126,595.40
  6. Step 6: Final answer
    x = 49,654.33

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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.