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Finding the Fourth Proportional to 38,176.40, 57,264.60 and 16,014.80

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Solution

The fourth proportional to 38,176.40, 57,264.60 and 16,014.80 is: 24,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176.40 : 57,264.60 = 16,014.80 : x
  2. Step 2: Convert to fraction form
    38,176.40/57,264.60 = 16,014.80/x
  3. Step 3: Cross multiply
    38,176.40x = 57,264.60 × 16,014.80
  4. Step 4: Simplify right side
    38,176.40x = 917,081,116.08
  5. Step 5: Solve for x
    x = 917,081,116.08/38,176.40
  6. Step 6: Final answer
    x = 24,022.20

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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.