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Finding the Fourth Proportional to 38,501.80, 57,774.30 and 16,311.40

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Solution

The fourth proportional to 38,501.80, 57,774.30 and 16,311.40 is: 24,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,501.80 : 57,774.30 = 16,311.40 : x
  2. Step 2: Convert to fraction form
    38,501.80/57,774.30 = 16,311.40/x
  3. Step 3: Cross multiply
    38,501.80x = 57,774.30 × 16,311.40
  4. Step 4: Simplify right side
    38,501.80x = 942,379,717.02
  5. Step 5: Solve for x
    x = 942,379,717.02/38,501.80
  6. Step 6: Final answer
    x = 24,476.25

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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.