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Finding the Fourth Proportional to 50,152, 69,210.12 and 27,796

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Solution

The fourth proportional to 50,152, 69,210.12 and 27,796 is: 38,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,152 : 69,210.12 = 27,796 : x
  2. Step 2: Convert to fraction form
    50,152/69,210.12 = 27,796/x
  3. Step 3: Cross multiply
    50,152x = 69,210.12 × 27,796
  4. Step 4: Simplify right side
    50,152x = 1,923,764,495.52
  5. Step 5: Solve for x
    x = 1,923,764,495.52/50,152
  6. Step 6: Final answer
    x = 38,358.68

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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.