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Finding the Fourth Proportional to 35,833.70, 53,735.96 and 16,106.96

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Solution

The fourth proportional to 35,833.70, 53,735.96 and 16,106.96 is: 24,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,833.70 : 53,735.96 = 16,106.96 : x
  2. Step 2: Convert to fraction form
    35,833.70/53,735.96 = 16,106.96/x
  3. Step 3: Cross multiply
    35,833.70x = 53,735.96 × 16,106.96
  4. Step 4: Simplify right side
    35,833.70x = 865,522,958.28
  5. Step 5: Solve for x
    x = 865,522,958.28/35,833.70
  6. Step 6: Final answer
    x = 24,153.88

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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.