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Finding the Fourth Proportional to 126,049.68, 189,048.06 and 55,884.24

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Solution

The fourth proportional to 126,049.68, 189,048.06 and 55,884.24 is: 83,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,049.68 : 189,048.06 = 55,884.24 : x
  2. Step 2: Convert to fraction form
    126,049.68/189,048.06 = 55,884.24/x
  3. Step 3: Cross multiply
    126,049.68x = 189,048.06 × 55,884.24
  4. Step 4: Simplify right side
    126,049.68x = 10,564,807,156.57
  5. Step 5: Solve for x
    x = 10,564,807,156.57/126,049.68
  6. Step 6: Final answer
    x = 83,814.63

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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.