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Finding the Fourth Proportional to 51,273, 76,909.50 and 14,337

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Solution

The fourth proportional to 51,273, 76,909.50 and 14,337 is: 21,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,273 : 76,909.50 = 14,337 : x
  2. Step 2: Convert to fraction form
    51,273/76,909.50 = 14,337/x
  3. Step 3: Cross multiply
    51,273x = 76,909.50 × 14,337
  4. Step 4: Simplify right side
    51,273x = 1,102,651,501.50
  5. Step 5: Solve for x
    x = 1,102,651,501.50/51,273
  6. Step 6: Final answer
    x = 21,505.50

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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.