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Finding the Fourth Proportional to 50,699, 76,048.50 and 13,763

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Solution

The fourth proportional to 50,699, 76,048.50 and 13,763 is: 20,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,699 : 76,048.50 = 13,763 : x
  2. Step 2: Convert to fraction form
    50,699/76,048.50 = 13,763/x
  3. Step 3: Cross multiply
    50,699x = 76,048.50 × 13,763
  4. Step 4: Simplify right side
    50,699x = 1,046,655,505.50
  5. Step 5: Solve for x
    x = 1,046,655,505.50/50,699
  6. Step 6: Final answer
    x = 20,644.50

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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.