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Finding the Fourth Proportional to 71,838.94, 107,774.26 and 21,922.90

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Solution

The fourth proportional to 71,838.94, 107,774.26 and 21,922.90 is: 32,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,838.94 : 107,774.26 = 21,922.90 : x
  2. Step 2: Convert to fraction form
    71,838.94/107,774.26 = 21,922.90/x
  3. Step 3: Cross multiply
    71,838.94x = 107,774.26 × 21,922.90
  4. Step 4: Simplify right side
    71,838.94x = 2,362,724,324.55
  5. Step 5: Solve for x
    x = 2,362,724,324.55/71,838.94
  6. Step 6: Final answer
    x = 32,889.19

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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.