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Finding the Fourth Proportional to 126,034.92, 189,051.84 and 37,288.98

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Solution

The fourth proportional to 126,034.92, 189,051.84 and 37,288.98 is: 55,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,034.92 : 189,051.84 = 37,288.98 : x
  2. Step 2: Convert to fraction form
    126,034.92/189,051.84 = 37,288.98/x
  3. Step 3: Cross multiply
    126,034.92x = 189,051.84 × 37,288.98
  4. Step 4: Simplify right side
    126,034.92x = 7,049,550,280.72
  5. Step 5: Solve for x
    x = 7,049,550,280.72/126,034.92
  6. Step 6: Final answer
    x = 55,933.31

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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.