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Finding the Fourth Proportional to 51,841.56, 77,745.90 and 16,773

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Solution

The fourth proportional to 51,841.56, 77,745.90 and 16,773 is: 25,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,841.56 : 77,745.90 = 16,773 : x
  2. Step 2: Convert to fraction form
    51,841.56/77,745.90 = 16,773/x
  3. Step 3: Cross multiply
    51,841.56x = 77,745.90 × 16,773
  4. Step 4: Simplify right side
    51,841.56x = 1,304,031,980.70
  5. Step 5: Solve for x
    x = 1,304,031,980.70/51,841.56
  6. Step 6: Final answer
    x = 25,154.18

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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.