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Finding the Fourth Proportional to 51,282, 76,923 and 14,346

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Solution

The fourth proportional to 51,282, 76,923 and 14,346 is: 21,519

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,282 : 76,923 = 14,346 : x
  2. Step 2: Convert to fraction form
    51,282/76,923 = 14,346/x
  3. Step 3: Cross multiply
    51,282x = 76,923 × 14,346
  4. Step 4: Simplify right side
    51,282x = 1,103,537,358
  5. Step 5: Solve for x
    x = 1,103,537,358/51,282
  6. Step 6: Final answer
    x = 21,519

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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.