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Finding the Fourth Proportional to 50,764.82, 70,053.17 and 28,102.22

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Solution

The fourth proportional to 50,764.82, 70,053.17 and 28,102.22 is: 38,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,764.82 : 70,053.17 = 28,102.22 : x
  2. Step 2: Convert to fraction form
    50,764.82/70,053.17 = 28,102.22/x
  3. Step 3: Cross multiply
    50,764.82x = 70,053.17 × 28,102.22
  4. Step 4: Simplify right side
    50,764.82x = 1,968,649,315.03
  5. Step 5: Solve for x
    x = 1,968,649,315.03/50,764.82
  6. Step 6: Final answer
    x = 38,779.80

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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.