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Finding the Fourth Proportional to 38,464.30, 57,702.40 and 16,277.80

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Solution

The fourth proportional to 38,464.30, 57,702.40 and 16,277.80 is: 24,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.30 : 57,702.40 = 16,277.80 : x
  2. Step 2: Convert to fraction form
    38,464.30/57,702.40 = 16,277.80/x
  3. Step 3: Cross multiply
    38,464.30x = 57,702.40 × 16,277.80
  4. Step 4: Simplify right side
    38,464.30x = 939,268,126.72
  5. Step 5: Solve for x
    x = 939,268,126.72/38,464.30
  6. Step 6: Final answer
    x = 24,419.22

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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.