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Finding the Fourth Proportional to 52,826.63, 79,239.82 and 13,383.63

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Solution

The fourth proportional to 52,826.63, 79,239.82 and 13,383.63 is: 20,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,826.63 : 79,239.82 = 13,383.63 : x
  2. Step 2: Convert to fraction form
    52,826.63/79,239.82 = 13,383.63/x
  3. Step 3: Cross multiply
    52,826.63x = 79,239.82 × 13,383.63
  4. Step 4: Simplify right side
    52,826.63x = 1,060,516,423.78
  5. Step 5: Solve for x
    x = 1,060,516,423.78/52,826.63
  6. Step 6: Final answer
    x = 20,075.41

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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.