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Finding the Fourth Proportional to 35,884.64, 53,806.44 and 10,917.30

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Solution

The fourth proportional to 35,884.64, 53,806.44 and 10,917.30 is: 16,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,884.64 : 53,806.44 = 10,917.30 : x
  2. Step 2: Convert to fraction form
    35,884.64/53,806.44 = 10,917.30/x
  3. Step 3: Cross multiply
    35,884.64x = 53,806.44 × 10,917.30
  4. Step 4: Simplify right side
    35,884.64x = 587,421,047.41
  5. Step 5: Solve for x
    x = 587,421,047.41/35,884.64
  6. Step 6: Final answer
    x = 16,369.71

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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.