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Finding the Fourth Proportional to 52,017.44, 71,784.02 and 29,361.20

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Solution

The fourth proportional to 52,017.44, 71,784.02 and 29,361.20 is: 40,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,017.44 : 71,784.02 = 29,361.20 : x
  2. Step 2: Convert to fraction form
    52,017.44/71,784.02 = 29,361.20/x
  3. Step 3: Cross multiply
    52,017.44x = 71,784.02 × 29,361.20
  4. Step 4: Simplify right side
    52,017.44x = 2,107,664,968.02
  5. Step 5: Solve for x
    x = 2,107,664,968.02/52,017.44
  6. Step 6: Final answer
    x = 40,518.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.