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Finding the Fourth Proportional to 51,433, 77,149.50 and 14,497

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Solution

The fourth proportional to 51,433, 77,149.50 and 14,497 is: 21,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,433 : 77,149.50 = 14,497 : x
  2. Step 2: Convert to fraction form
    51,433/77,149.50 = 14,497/x
  3. Step 3: Cross multiply
    51,433x = 77,149.50 × 14,497
  4. Step 4: Simplify right side
    51,433x = 1,118,436,301.50
  5. Step 5: Solve for x
    x = 1,118,436,301.50/51,433
  6. Step 6: Final answer
    x = 21,745.50

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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.