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Finding the Fourth Proportional to 29,061, 43,591.50 and 7,173

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Solution

The fourth proportional to 29,061, 43,591.50 and 7,173 is: 10,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,061 : 43,591.50 = 7,173 : x
  2. Step 2: Convert to fraction form
    29,061/43,591.50 = 7,173/x
  3. Step 3: Cross multiply
    29,061x = 43,591.50 × 7,173
  4. Step 4: Simplify right side
    29,061x = 312,681,829.50
  5. Step 5: Solve for x
    x = 312,681,829.50/29,061
  6. Step 6: Final answer
    x = 10,759.50

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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.