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Finding the Fourth Proportional to 106,809.59, 160,223.49 and 27,923.69

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Solution

The fourth proportional to 106,809.59, 160,223.49 and 27,923.69 is: 41,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,809.59 : 160,223.49 = 27,923.69 : x
  2. Step 2: Convert to fraction form
    106,809.59/160,223.49 = 27,923.69/x
  3. Step 3: Cross multiply
    106,809.59x = 160,223.49 × 27,923.69
  4. Step 4: Simplify right side
    106,809.59x = 4,474,031,065.48
  5. Step 5: Solve for x
    x = 4,474,031,065.48/106,809.59
  6. Step 6: Final answer
    x = 41,887.92

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1.5x scale

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.