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Finding the Fourth Proportional to 126,002.75, 189,007.77 and 32,508.50

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Solution

The fourth proportional to 126,002.75, 189,007.77 and 32,508.50 is: 48,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,002.75 : 189,007.77 = 32,508.50 : x
  2. Step 2: Convert to fraction form
    126,002.75/189,007.77 = 32,508.50/x
  3. Step 3: Cross multiply
    126,002.75x = 189,007.77 × 32,508.50
  4. Step 4: Simplify right side
    126,002.75x = 6,144,359,091.05
  5. Step 5: Solve for x
    x = 6,144,359,091.05/126,002.75
  6. Step 6: Final answer
    x = 48,763.69

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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.