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Finding the Fourth Proportional to 51,645, 71,270.10 and 29,289

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Solution

The fourth proportional to 51,645, 71,270.10 and 29,289 is: 40,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,645 : 71,270.10 = 29,289 : x
  2. Step 2: Convert to fraction form
    51,645/71,270.10 = 29,289/x
  3. Step 3: Cross multiply
    51,645x = 71,270.10 × 29,289
  4. Step 4: Simplify right side
    51,645x = 2,087,429,958.90
  5. Step 5: Solve for x
    x = 2,087,429,958.90/51,645
  6. Step 6: Final answer
    x = 40,418.82

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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.