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Finding the Fourth Proportional to 38,506.80, 57,781.80 and 16,316.40

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Solution

The fourth proportional to 38,506.80, 57,781.80 and 16,316.40 is: 24,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.80 : 57,781.80 = 16,316.40 : x
  2. Step 2: Convert to fraction form
    38,506.80/57,781.80 = 16,316.40/x
  3. Step 3: Cross multiply
    38,506.80x = 57,781.80 × 16,316.40
  4. Step 4: Simplify right side
    38,506.80x = 942,790,961.52
  5. Step 5: Solve for x
    x = 942,790,961.52/38,506.80
  6. Step 6: Final answer
    x = 24,483.75

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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.