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Finding the Fourth Proportional to 51,730, 77,595 and 14,794

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Solution

The fourth proportional to 51,730, 77,595 and 14,794 is: 22,191

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,730 : 77,595 = 14,794 : x
  2. Step 2: Convert to fraction form
    51,730/77,595 = 14,794/x
  3. Step 3: Cross multiply
    51,730x = 77,595 × 14,794
  4. Step 4: Simplify right side
    51,730x = 1,147,940,430
  5. Step 5: Solve for x
    x = 1,147,940,430/51,730
  6. Step 6: Final answer
    x = 22,191

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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.