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Finding the Fourth Proportional to 38,485.14, 57,682.89 and 16,291.14

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Solution

The fourth proportional to 38,485.14, 57,682.89 and 16,291.14 is: 24,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,485.14 : 57,682.89 = 16,291.14 : x
  2. Step 2: Convert to fraction form
    38,485.14/57,682.89 = 16,291.14/x
  3. Step 3: Cross multiply
    38,485.14x = 57,682.89 × 16,291.14
  4. Step 4: Simplify right side
    38,485.14x = 939,720,036.59
  5. Step 5: Solve for x
    x = 939,720,036.59/38,485.14
  6. Step 6: Final answer
    x = 24,417.74

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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.