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Finding the Fourth Proportional to 100,021.59, 138,024.21 and 54,690.57

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Solution

The fourth proportional to 100,021.59, 138,024.21 and 54,690.57 is: 75,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,021.59 : 138,024.21 = 54,690.57 : x
  2. Step 2: Convert to fraction form
    100,021.59/138,024.21 = 54,690.57/x
  3. Step 3: Cross multiply
    100,021.59x = 138,024.21 × 54,690.57
  4. Step 4: Simplify right side
    100,021.59x = 7,548,622,718.70
  5. Step 5: Solve for x
    x = 7,548,622,718.70/100,021.59
  6. Step 6: Final answer
    x = 75,469.93

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1.5x scale

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.