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Finding the Fourth Proportional to 35,843.64, 53,786.21 and 14,779.76

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Solution

The fourth proportional to 35,843.64, 53,786.21 and 14,779.76 is: 22,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,843.64 : 53,786.21 = 14,779.76 : x
  2. Step 2: Convert to fraction form
    35,843.64/53,786.21 = 14,779.76/x
  3. Step 3: Cross multiply
    35,843.64x = 53,786.21 × 14,779.76
  4. Step 4: Simplify right side
    35,843.64x = 794,946,932.28
  5. Step 5: Solve for x
    x = 794,946,932.28/35,843.64
  6. Step 6: Final answer
    x = 22,178.19

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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.