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Finding the Fourth Proportional to 50,709, 76,063.68 and 13,773

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Solution

The fourth proportional to 50,709, 76,063.68 and 13,773 is: 20,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,709 : 76,063.68 = 13,773 : x
  2. Step 2: Convert to fraction form
    50,709/76,063.68 = 13,773/x
  3. Step 3: Cross multiply
    50,709x = 76,063.68 × 13,773
  4. Step 4: Simplify right side
    50,709x = 1,047,625,064.64
  5. Step 5: Solve for x
    x = 1,047,625,064.64/50,709
  6. Step 6: Final answer
    x = 20,659.55

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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.