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Finding the Fourth Proportional to 106,842.44, 160,259.21 and 27,954.92

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Solution

The fourth proportional to 106,842.44, 160,259.21 and 27,954.92 is: 41,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,842.44 : 160,259.21 = 27,954.92 : x
  2. Step 2: Convert to fraction form
    106,842.44/160,259.21 = 27,954.92/x
  3. Step 3: Cross multiply
    106,842.44x = 160,259.21 × 27,954.92
  4. Step 4: Simplify right side
    106,842.44x = 4,480,033,760.52
  5. Step 5: Solve for x
    x = 4,480,033,760.52/106,842.44
  6. Step 6: Final answer
    x = 41,931.22

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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.