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Finding the Fourth Proportional to 106,911.53, 160,402.92 and 35,841.20

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Solution

The fourth proportional to 106,911.53, 160,402.92 and 35,841.20 is: 53,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,911.53 : 160,402.92 = 35,841.20 : x
  2. Step 2: Convert to fraction form
    106,911.53/160,402.92 = 35,841.20/x
  3. Step 3: Cross multiply
    106,911.53x = 160,402.92 × 35,841.20
  4. Step 4: Simplify right side
    106,911.53x = 5,749,032,334.29
  5. Step 5: Solve for x
    x = 5,749,032,334.29/106,911.53
  6. Step 6: Final answer
    x = 53,773.74

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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.