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Finding the Fourth Proportional to 38,428.40, 57,642.60 and 30,652.40

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Solution

The fourth proportional to 38,428.40, 57,642.60 and 30,652.40 is: 45,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428.40 : 57,642.60 = 30,652.40 : x
  2. Step 2: Convert to fraction form
    38,428.40/57,642.60 = 30,652.40/x
  3. Step 3: Cross multiply
    38,428.40x = 57,642.60 × 30,652.40
  4. Step 4: Simplify right side
    38,428.40x = 1,766,884,032.24
  5. Step 5: Solve for x
    x = 1,766,884,032.24/38,428.40
  6. Step 6: Final answer
    x = 45,978.60

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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.