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Finding the Fourth Proportional to 50,992, 76,487.40 and 35,937.28

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Solution

The fourth proportional to 50,992, 76,487.40 and 35,937.28 is: 53,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,992 : 76,487.40 = 35,937.28 : x
  2. Step 2: Convert to fraction form
    50,992/76,487.40 = 35,937.28/x
  3. Step 3: Cross multiply
    50,992x = 76,487.40 × 35,937.28
  4. Step 4: Simplify right side
    50,992x = 2,748,749,110.27
  5. Step 5: Solve for x
    x = 2,748,749,110.27/50,992
  6. Step 6: Final answer
    x = 53,905.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.