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Finding the Fourth Proportional to 50,457, 69,632.82 and 28,101

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Solution

The fourth proportional to 50,457, 69,632.82 and 28,101 is: 38,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,457 : 69,632.82 = 28,101 : x
  2. Step 2: Convert to fraction form
    50,457/69,632.82 = 28,101/x
  3. Step 3: Cross multiply
    50,457x = 69,632.82 × 28,101
  4. Step 4: Simplify right side
    50,457x = 1,956,751,874.82
  5. Step 5: Solve for x
    x = 1,956,751,874.82/50,457
  6. Step 6: Final answer
    x = 38,780.58

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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.