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Finding the Fourth Proportional to 126,000.75, 189,004.77 and 32,506.50

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Solution

The fourth proportional to 126,000.75, 189,004.77 and 32,506.50 is: 48,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,000.75 : 189,004.77 = 32,506.50 : x
  2. Step 2: Convert to fraction form
    126,000.75/189,004.77 = 32,506.50/x
  3. Step 3: Cross multiply
    126,000.75x = 189,004.77 × 32,506.50
  4. Step 4: Simplify right side
    126,000.75x = 6,143,883,556.01
  5. Step 5: Solve for x
    x = 6,143,883,556.01/126,000.75
  6. Step 6: Final answer
    x = 48,760.69

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1.5x scale

Why These Related Problems?

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