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Finding the Fourth Proportional to 51,073, 70,480.77 and 28,717

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Solution

The fourth proportional to 51,073, 70,480.77 and 28,717 is: 39,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,073 : 70,480.77 = 28,717 : x
  2. Step 2: Convert to fraction form
    51,073/70,480.77 = 28,717/x
  3. Step 3: Cross multiply
    51,073x = 70,480.77 × 28,717
  4. Step 4: Simplify right side
    51,073x = 2,023,996,272.09
  5. Step 5: Solve for x
    x = 2,023,996,272.09/51,073
  6. Step 6: Final answer
    x = 39,629.48

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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.