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Finding the Fourth Proportional to 38,566.80, 57,871.80 and 16,376.40

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Solution

The fourth proportional to 38,566.80, 57,871.80 and 16,376.40 is: 24,573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,566.80 : 57,871.80 = 16,376.40 : x
  2. Step 2: Convert to fraction form
    38,566.80/57,871.80 = 16,376.40/x
  3. Step 3: Cross multiply
    38,566.80x = 57,871.80 × 16,376.40
  4. Step 4: Simplify right side
    38,566.80x = 947,731,745.52
  5. Step 5: Solve for x
    x = 947,731,745.52/38,566.80
  6. Step 6: Final answer
    x = 24,573.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.