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Finding the Fourth Proportional to 126,444.66, 189,667.02 and 37,760.46

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Solution

The fourth proportional to 126,444.66, 189,667.02 and 37,760.46 is: 56,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,444.66 : 189,667.02 = 37,760.46 : x
  2. Step 2: Convert to fraction form
    126,444.66/189,667.02 = 37,760.46/x
  3. Step 3: Cross multiply
    126,444.66x = 189,667.02 × 37,760.46
  4. Step 4: Simplify right side
    126,444.66x = 7,161,913,922.03
  5. Step 5: Solve for x
    x = 7,161,913,922.03/126,444.66
  6. Step 6: Final answer
    x = 56,640.70

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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.