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Finding the Fourth Proportional to 38,189.70, 52,710.75 and 22,276.98

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Solution

The fourth proportional to 38,189.70, 52,710.75 and 22,276.98 is: 30,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,189.70 : 52,710.75 = 22,276.98 : x
  2. Step 2: Convert to fraction form
    38,189.70/52,710.75 = 22,276.98/x
  3. Step 3: Cross multiply
    38,189.70x = 52,710.75 × 22,276.98
  4. Step 4: Simplify right side
    38,189.70x = 1,174,236,323.54
  5. Step 5: Solve for x
    x = 1,174,236,323.54/38,189.70
  6. Step 6: Final answer
    x = 30,747.46

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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.