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Finding the Fourth Proportional to 38,309.80, 57,464.70 and 19,582.60

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Solution

The fourth proportional to 38,309.80, 57,464.70 and 19,582.60 is: 29,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,309.80 : 57,464.70 = 19,582.60 : x
  2. Step 2: Convert to fraction form
    38,309.80/57,464.70 = 19,582.60/x
  3. Step 3: Cross multiply
    38,309.80x = 57,464.70 × 19,582.60
  4. Step 4: Simplify right side
    38,309.80x = 1,125,308,234.22
  5. Step 5: Solve for x
    x = 1,125,308,234.22/38,309.80
  6. Step 6: Final answer
    x = 29,373.90

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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.