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Finding the Fourth Proportional to 83,993.24, 115,909.67 and 45,752.67

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Solution

The fourth proportional to 83,993.24, 115,909.67 and 45,752.67 is: 63,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,993.24 : 115,909.67 = 45,752.67 : x
  2. Step 2: Convert to fraction form
    83,993.24/115,909.67 = 45,752.67/x
  3. Step 3: Cross multiply
    83,993.24x = 115,909.67 × 45,752.67
  4. Step 4: Simplify right side
    83,993.24x = 5,303,176,652.56
  5. Step 5: Solve for x
    x = 5,303,176,652.56/83,993.24
  6. Step 6: Final answer
    x = 63,138.14

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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.