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Finding the Fourth Proportional to 38,534.40, 57,801.60 and 29,203.20

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Solution

The fourth proportional to 38,534.40, 57,801.60 and 29,203.20 is: 43,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,534.40 : 57,801.60 = 29,203.20 : x
  2. Step 2: Convert to fraction form
    38,534.40/57,801.60 = 29,203.20/x
  3. Step 3: Cross multiply
    38,534.40x = 57,801.60 × 29,203.20
  4. Step 4: Simplify right side
    38,534.40x = 1,687,991,685.12
  5. Step 5: Solve for x
    x = 1,687,991,685.12/38,534.40
  6. Step 6: Final answer
    x = 43,804.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.