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Finding the Fourth Proportional to 50,538.32, 69,739.08 and 28,178

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Solution

The fourth proportional to 50,538.32, 69,739.08 and 28,178 is: 38,883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,538.32 : 69,739.08 = 28,178 : x
  2. Step 2: Convert to fraction form
    50,538.32/69,739.08 = 28,178/x
  3. Step 3: Cross multiply
    50,538.32x = 69,739.08 × 28,178
  4. Step 4: Simplify right side
    50,538.32x = 1,965,107,796.24
  5. Step 5: Solve for x
    x = 1,965,107,796.24/50,538.32
  6. Step 6: Final answer
    x = 38,883.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.