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Finding the Fourth Proportional to 106,986, 160,455.77 and 32,086.04

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Solution

The fourth proportional to 106,986, 160,455.77 and 32,086.04 is: 48,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,986 : 160,455.77 = 32,086.04 : x
  2. Step 2: Convert to fraction form
    106,986/160,455.77 = 32,086.04/x
  3. Step 3: Cross multiply
    106,986x = 160,455.77 × 32,086.04
  4. Step 4: Simplify right side
    106,986x = 5,148,390,254.45
  5. Step 5: Solve for x
    x = 5,148,390,254.45/106,986
  6. Step 6: Final answer
    x = 48,122.09

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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.