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Finding the Fourth Proportional to 126,035.92, 189,053.34 and 37,289.98

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Solution

The fourth proportional to 126,035.92, 189,053.34 and 37,289.98 is: 55,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,035.92 : 189,053.34 = 37,289.98 : x
  2. Step 2: Convert to fraction form
    126,035.92/189,053.34 = 37,289.98/x
  3. Step 3: Cross multiply
    126,035.92x = 189,053.34 × 37,289.98
  4. Step 4: Simplify right side
    126,035.92x = 7,049,795,267.53
  5. Step 5: Solve for x
    x = 7,049,795,267.53/126,035.92
  6. Step 6: Final answer
    x = 55,934.81

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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.