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Finding the Fourth Proportional to 51,996.56, 78,003 and 22,422.80

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Solution

The fourth proportional to 51,996.56, 78,003 and 22,422.80 is: 33,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,996.56 : 78,003 = 22,422.80 : x
  2. Step 2: Convert to fraction form
    51,996.56/78,003 = 22,422.80/x
  3. Step 3: Cross multiply
    51,996.56x = 78,003 × 22,422.80
  4. Step 4: Simplify right side
    51,996.56x = 1,749,045,668.40
  5. Step 5: Solve for x
    x = 1,749,045,668.40/51,996.56
  6. Step 6: Final answer
    x = 33,637.72

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1.5x scale

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.