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Finding the Fourth Proportional to 52,852.04, 79,255.02 and 19,997

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Solution

The fourth proportional to 52,852.04, 79,255.02 and 19,997 is: 29,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,852.04 : 79,255.02 = 19,997 : x
  2. Step 2: Convert to fraction form
    52,852.04/79,255.02 = 19,997/x
  3. Step 3: Cross multiply
    52,852.04x = 79,255.02 × 19,997
  4. Step 4: Simplify right side
    52,852.04x = 1,584,862,634.94
  5. Step 5: Solve for x
    x = 1,584,862,634.94/52,852.04
  6. Step 6: Final answer
    x = 29,986.78

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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.