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Finding the Fourth Proportional to 35,863.42, 53,794.64 and 16,128

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Solution

The fourth proportional to 35,863.42, 53,794.64 and 16,128 is: 24,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,863.42 : 53,794.64 = 16,128 : x
  2. Step 2: Convert to fraction form
    35,863.42/53,794.64 = 16,128/x
  3. Step 3: Cross multiply
    35,863.42x = 53,794.64 × 16,128
  4. Step 4: Simplify right side
    35,863.42x = 867,599,953.92
  5. Step 5: Solve for x
    x = 867,599,953.92/35,863.42
  6. Step 6: Final answer
    x = 24,191.78

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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.