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Finding the Fourth Proportional to 50,497.80, 69,662.16 and 32,586

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Solution

The fourth proportional to 50,497.80, 69,662.16 and 32,586 is: 44,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,497.80 : 69,662.16 = 32,586 : x
  2. Step 2: Convert to fraction form
    50,497.80/69,662.16 = 32,586/x
  3. Step 3: Cross multiply
    50,497.80x = 69,662.16 × 32,586
  4. Step 4: Simplify right side
    50,497.80x = 2,270,011,145.76
  5. Step 5: Solve for x
    x = 2,270,011,145.76/50,497.80
  6. Step 6: Final answer
    x = 44,952.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.