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Finding the Fourth Proportional to 36,498, 54,750.51 and 16,782.06

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Solution

The fourth proportional to 36,498, 54,750.51 and 16,782.06 is: 25,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,498 : 54,750.51 = 16,782.06 : x
  2. Step 2: Convert to fraction form
    36,498/54,750.51 = 16,782.06/x
  3. Step 3: Cross multiply
    36,498x = 54,750.51 × 16,782.06
  4. Step 4: Simplify right side
    36,498x = 918,826,343.85
  5. Step 5: Solve for x
    x = 918,826,343.85/36,498
  6. Step 6: Final answer
    x = 25,174.70

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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.