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Finding the Fourth Proportional to 106,775.88, 160,184.31 and 35,720.91

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Solution

The fourth proportional to 106,775.88, 160,184.31 and 35,720.91 is: 53,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,775.88 : 160,184.31 = 35,720.91 : x
  2. Step 2: Convert to fraction form
    106,775.88/160,184.31 = 35,720.91/x
  3. Step 3: Cross multiply
    106,775.88x = 160,184.31 × 35,720.91
  4. Step 4: Simplify right side
    106,775.88x = 5,721,929,320.92
  5. Step 5: Solve for x
    x = 5,721,929,320.92/106,775.88
  6. Step 6: Final answer
    x = 53,588.22

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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.