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Finding the Fourth Proportional to 50,362.50, 69,501.78 and 27,700.32

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Solution

The fourth proportional to 50,362.50, 69,501.78 and 27,700.32 is: 38,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,362.50 : 69,501.78 = 27,700.32 : x
  2. Step 2: Convert to fraction form
    50,362.50/69,501.78 = 27,700.32/x
  3. Step 3: Cross multiply
    50,362.50x = 69,501.78 × 27,700.32
  4. Step 4: Simplify right side
    50,362.50x = 1,925,221,546.57
  5. Step 5: Solve for x
    x = 1,925,221,546.57/50,362.50
  6. Step 6: Final answer
    x = 38,227.28

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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.