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Finding the Fourth Proportional to 55,256.46, 82,884.60 and 13,703.46

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Solution

The fourth proportional to 55,256.46, 82,884.60 and 13,703.46 is: 20,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,256.46 : 82,884.60 = 13,703.46 : x
  2. Step 2: Convert to fraction form
    55,256.46/82,884.60 = 13,703.46/x
  3. Step 3: Cross multiply
    55,256.46x = 82,884.60 × 13,703.46
  4. Step 4: Simplify right side
    55,256.46x = 1,135,805,800.72
  5. Step 5: Solve for x
    x = 1,135,805,800.72/55,256.46
  6. Step 6: Final answer
    x = 20,555.17

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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.