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Finding the Fourth Proportional to 51,415.82, 70,937.68 and 28,751.75

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Solution

The fourth proportional to 51,415.82, 70,937.68 and 28,751.75 is: 39,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,415.82 : 70,937.68 = 28,751.75 : x
  2. Step 2: Convert to fraction form
    51,415.82/70,937.68 = 28,751.75/x
  3. Step 3: Cross multiply
    51,415.82x = 70,937.68 × 28,751.75
  4. Step 4: Simplify right side
    51,415.82x = 2,039,582,014.37
  5. Step 5: Solve for x
    x = 2,039,582,014.37/51,415.82
  6. Step 6: Final answer
    x = 39,668.38

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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.