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Finding the Fourth Proportional to 52,554.78, 72,525.54 and 30,198.78

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Solution

The fourth proportional to 52,554.78, 72,525.54 and 30,198.78 is: 41,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,554.78 : 72,525.54 = 30,198.78 : x
  2. Step 2: Convert to fraction form
    52,554.78/72,525.54 = 30,198.78/x
  3. Step 3: Cross multiply
    52,554.78x = 72,525.54 × 30,198.78
  4. Step 4: Simplify right side
    52,554.78x = 2,190,182,826.84
  5. Step 5: Solve for x
    x = 2,190,182,826.84/52,554.78
  6. Step 6: Final answer
    x = 41,674.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.