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Finding the Fourth Proportional to 38,196.50, 57,317.79 and 16,308.50

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Solution

The fourth proportional to 38,196.50, 57,317.79 and 16,308.50 is: 24,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,196.50 : 57,317.79 = 16,308.50 : x
  2. Step 2: Convert to fraction form
    38,196.50/57,317.79 = 16,308.50/x
  3. Step 3: Cross multiply
    38,196.50x = 57,317.79 × 16,308.50
  4. Step 4: Simplify right side
    38,196.50x = 934,767,178.22
  5. Step 5: Solve for x
    x = 934,767,178.22/38,196.50
  6. Step 6: Final answer
    x = 24,472.59

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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.