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Finding the Fourth Proportional to 71,731.44, 107,597.16 and 19,141.11

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Solution

The fourth proportional to 71,731.44, 107,597.16 and 19,141.11 is: 28,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,731.44 : 107,597.16 = 19,141.11 : x
  2. Step 2: Convert to fraction form
    71,731.44/107,597.16 = 19,141.11/x
  3. Step 3: Cross multiply
    71,731.44x = 107,597.16 × 19,141.11
  4. Step 4: Simplify right side
    71,731.44x = 2,059,529,075.25
  5. Step 5: Solve for x
    x = 2,059,529,075.25/71,731.44
  6. Step 6: Final answer
    x = 28,711.67

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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.