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Finding the Fourth Proportional to 77,097.84, 106,412.82 and 50,193.54

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Solution

The fourth proportional to 77,097.84, 106,412.82 and 50,193.54 is: 69,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,097.84 : 106,412.82 = 50,193.54 : x
  2. Step 2: Convert to fraction form
    77,097.84/106,412.82 = 50,193.54/x
  3. Step 3: Cross multiply
    77,097.84x = 106,412.82 × 50,193.54
  4. Step 4: Simplify right side
    77,097.84x = 5,341,236,137.18
  5. Step 5: Solve for x
    x = 5,341,236,137.18/77,097.84
  6. Step 6: Final answer
    x = 69,278.67

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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.