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Finding the Fourth Proportional to 38,496.30, 57,766.05 and 16,305.90

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Solution

The fourth proportional to 38,496.30, 57,766.05 and 16,305.90 is: 24,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.30 : 57,766.05 = 16,305.90 : x
  2. Step 2: Convert to fraction form
    38,496.30/57,766.05 = 16,305.90/x
  3. Step 3: Cross multiply
    38,496.30x = 57,766.05 × 16,305.90
  4. Step 4: Simplify right side
    38,496.30x = 941,927,434.70
  5. Step 5: Solve for x
    x = 941,927,434.70/38,496.30
  6. Step 6: Final answer
    x = 24,468.00

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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.