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Finding the Fourth Proportional to 55,053.36, 82,580.04 and 13,500

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Solution

The fourth proportional to 55,053.36, 82,580.04 and 13,500 is: 20,250

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,053.36 : 82,580.04 = 13,500 : x
  2. Step 2: Convert to fraction form
    55,053.36/82,580.04 = 13,500/x
  3. Step 3: Cross multiply
    55,053.36x = 82,580.04 × 13,500
  4. Step 4: Simplify right side
    55,053.36x = 1,114,830,540
  5. Step 5: Solve for x
    x = 1,114,830,540/55,053.36
  6. Step 6: Final answer
    x = 20,250

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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.