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Finding the Fourth Proportional to 37,628.16, 56,393.36 and 28,194.08

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Solution

The fourth proportional to 37,628.16, 56,393.36 and 28,194.08 is: 42,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,628.16 : 56,393.36 = 28,194.08 : x
  2. Step 2: Convert to fraction form
    37,628.16/56,393.36 = 28,194.08/x
  3. Step 3: Cross multiply
    37,628.16x = 56,393.36 × 28,194.08
  4. Step 4: Simplify right side
    37,628.16x = 1,589,958,903.31
  5. Step 5: Solve for x
    x = 1,589,958,903.31/37,628.16
  6. Step 6: Final answer
    x = 42,254.50

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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.