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Finding the Fourth Proportional to 38,203.50, 57,328.29 and 16,315.50

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Solution

The fourth proportional to 38,203.50, 57,328.29 and 16,315.50 is: 24,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,203.50 : 57,328.29 = 16,315.50 : x
  2. Step 2: Convert to fraction form
    38,203.50/57,328.29 = 16,315.50/x
  3. Step 3: Cross multiply
    38,203.50x = 57,328.29 × 16,315.50
  4. Step 4: Simplify right side
    38,203.50x = 935,339,715.50
  5. Step 5: Solve for x
    x = 935,339,715.50/38,203.50
  6. Step 6: Final answer
    x = 24,483.09

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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.