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Finding the Fourth Proportional to 50,352, 69,485.76 and 27,996

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Solution

The fourth proportional to 50,352, 69,485.76 and 27,996 is: 38,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,352 : 69,485.76 = 27,996 : x
  2. Step 2: Convert to fraction form
    50,352/69,485.76 = 27,996/x
  3. Step 3: Cross multiply
    50,352x = 69,485.76 × 27,996
  4. Step 4: Simplify right side
    50,352x = 1,945,323,336.96
  5. Step 5: Solve for x
    x = 1,945,323,336.96/50,352
  6. Step 6: Final answer
    x = 38,634.48

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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.