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Finding the Fourth Proportional to 50,421.36, 69,580.80 and 28,065.36

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Solution

The fourth proportional to 50,421.36, 69,580.80 and 28,065.36 is: 38,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,421.36 : 69,580.80 = 28,065.36 : x
  2. Step 2: Convert to fraction form
    50,421.36/69,580.80 = 28,065.36/x
  3. Step 3: Cross multiply
    50,421.36x = 69,580.80 × 28,065.36
  4. Step 4: Simplify right side
    50,421.36x = 1,952,810,201.09
  5. Step 5: Solve for x
    x = 1,952,810,201.09/50,421.36
  6. Step 6: Final answer
    x = 38,729.82

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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.