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Finding the Fourth Proportional to 57,731, 86,346.33 and 33,981.95

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Solution

The fourth proportional to 57,731, 86,346.33 and 33,981.95 is: 50,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,731 : 86,346.33 = 33,981.95 : x
  2. Step 2: Convert to fraction form
    57,731/86,346.33 = 33,981.95/x
  3. Step 3: Cross multiply
    57,731x = 86,346.33 × 33,981.95
  4. Step 4: Simplify right side
    57,731x = 2,934,216,668.74
  5. Step 5: Solve for x
    x = 2,934,216,668.74/57,731
  6. Step 6: Final answer
    x = 50,825.67

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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.