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Finding the Fourth Proportional to 50,353.04, 69,485.70 and 27,692

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Solution

The fourth proportional to 50,353.04, 69,485.70 and 27,692 is: 38,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,353.04 : 69,485.70 = 27,692 : x
  2. Step 2: Convert to fraction form
    50,353.04/69,485.70 = 27,692/x
  3. Step 3: Cross multiply
    50,353.04x = 69,485.70 × 27,692
  4. Step 4: Simplify right side
    50,353.04x = 1,924,198,004.40
  5. Step 5: Solve for x
    x = 1,924,198,004.40/50,353.04
  6. Step 6: Final answer
    x = 38,214.14

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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.