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Finding the Fourth Proportional to 106,710.84, 160,066.26 and 27,824.85

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Solution

The fourth proportional to 106,710.84, 160,066.26 and 27,824.85 is: 41,737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,710.84 : 160,066.26 = 27,824.85 : x
  2. Step 2: Convert to fraction form
    106,710.84/160,066.26 = 27,824.85/x
  3. Step 3: Cross multiply
    106,710.84x = 160,066.26 × 27,824.85
  4. Step 4: Simplify right side
    106,710.84x = 4,453,819,674.56
  5. Step 5: Solve for x
    x = 4,453,819,674.56/106,710.84
  6. Step 6: Final answer
    x = 41,737.28

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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.