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Finding the Fourth Proportional to 50,683.64, 76,003.56 and 19,497

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Solution

The fourth proportional to 50,683.64, 76,003.56 and 19,497 is: 29,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,683.64 : 76,003.56 = 19,497 : x
  2. Step 2: Convert to fraction form
    50,683.64/76,003.56 = 19,497/x
  3. Step 3: Cross multiply
    50,683.64x = 76,003.56 × 19,497
  4. Step 4: Simplify right side
    50,683.64x = 1,481,841,409.32
  5. Step 5: Solve for x
    x = 1,481,841,409.32/50,683.64
  6. Step 6: Final answer
    x = 29,237.08

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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.