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Finding the Fourth Proportional to 126,110.48, 189,165.12 and 37,364.48

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Solution

The fourth proportional to 126,110.48, 189,165.12 and 37,364.48 is: 56,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,110.48 : 189,165.12 = 37,364.48 : x
  2. Step 2: Convert to fraction form
    126,110.48/189,165.12 = 37,364.48/x
  3. Step 3: Cross multiply
    126,110.48x = 189,165.12 × 37,364.48
  4. Step 4: Simplify right side
    126,110.48x = 7,068,056,342.94
  5. Step 5: Solve for x
    x = 7,068,056,342.94/126,110.48
  6. Step 6: Final answer
    x = 56,046.54

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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.