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Finding the Fourth Proportional to 55,256.10, 82,884.15 and 13,703.10

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Solution

The fourth proportional to 55,256.10, 82,884.15 and 13,703.10 is: 20,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,256.10 : 82,884.15 = 13,703.10 : x
  2. Step 2: Convert to fraction form
    55,256.10/82,884.15 = 13,703.10/x
  3. Step 3: Cross multiply
    55,256.10x = 82,884.15 × 13,703.10
  4. Step 4: Simplify right side
    55,256.10x = 1,135,769,795.87
  5. Step 5: Solve for x
    x = 1,135,769,795.87/55,256.10
  6. Step 6: Final answer
    x = 20,554.65

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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.