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Finding the Fourth Proportional to 38,595.80, 57,893.70 and 16,409.90

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Solution

The fourth proportional to 38,595.80, 57,893.70 and 16,409.90 is: 24,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,595.80 : 57,893.70 = 16,409.90 : x
  2. Step 2: Convert to fraction form
    38,595.80/57,893.70 = 16,409.90/x
  3. Step 3: Cross multiply
    38,595.80x = 57,893.70 × 16,409.90
  4. Step 4: Simplify right side
    38,595.80x = 950,029,827.63
  5. Step 5: Solve for x
    x = 950,029,827.63/38,595.80
  6. Step 6: Final answer
    x = 24,614.85

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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.