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Finding the Fourth Proportional to 51,884, 77,701.30 and 29,630

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Solution

The fourth proportional to 51,884, 77,701.30 and 29,630 is: 44,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,884 : 77,701.30 = 29,630 : x
  2. Step 2: Convert to fraction form
    51,884/77,701.30 = 29,630/x
  3. Step 3: Cross multiply
    51,884x = 77,701.30 × 29,630
  4. Step 4: Simplify right side
    51,884x = 2,302,289,519
  5. Step 5: Solve for x
    x = 2,302,289,519/51,884
  6. Step 6: Final answer
    x = 44,373.79

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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.