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Finding the Fourth Proportional to 38,396.30, 57,464.40 and 23,614.58

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Solution

The fourth proportional to 38,396.30, 57,464.40 and 23,614.58 is: 35,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,396.30 : 57,464.40 = 23,614.58 : x
  2. Step 2: Convert to fraction form
    38,396.30/57,464.40 = 23,614.58/x
  3. Step 3: Cross multiply
    38,396.30x = 57,464.40 × 23,614.58
  4. Step 4: Simplify right side
    38,396.30x = 1,356,997,670.95
  5. Step 5: Solve for x
    x = 1,356,997,670.95/38,396.30
  6. Step 6: Final answer
    x = 35,341.89

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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.