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Finding the Fourth Proportional to 100,709.70, 138,976.59 and 55,387.67

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Solution

The fourth proportional to 100,709.70, 138,976.59 and 55,387.67 is: 76,433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,709.70 : 138,976.59 = 55,387.67 : x
  2. Step 2: Convert to fraction form
    100,709.70/138,976.59 = 55,387.67/x
  3. Step 3: Cross multiply
    100,709.70x = 138,976.59 × 55,387.67
  4. Step 4: Simplify right side
    100,709.70x = 7,697,589,017.47
  5. Step 5: Solve for x
    x = 7,697,589,017.47/100,709.70
  6. Step 6: Final answer
    x = 76,433.44

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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.