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Finding the Fourth Proportional to 51,758.76, 77,638.17 and 16,698.48

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Solution

The fourth proportional to 51,758.76, 77,638.17 and 16,698.48 is: 25,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,758.76 : 77,638.17 = 16,698.48 : x
  2. Step 2: Convert to fraction form
    51,758.76/77,638.17 = 16,698.48/x
  3. Step 3: Cross multiply
    51,758.76x = 77,638.17 × 16,698.48
  4. Step 4: Simplify right side
    51,758.76x = 1,296,439,428.98
  5. Step 5: Solve for x
    x = 1,296,439,428.98/51,758.76
  6. Step 6: Final answer
    x = 25,047.73

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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.