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Finding the Fourth Proportional to 78,363.20, 117,555.60 and 28,431.20

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Solution

The fourth proportional to 78,363.20, 117,555.60 and 28,431.20 is: 42,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,363.20 : 117,555.60 = 28,431.20 : x
  2. Step 2: Convert to fraction form
    78,363.20/117,555.60 = 28,431.20/x
  3. Step 3: Cross multiply
    78,363.20x = 117,555.60 × 28,431.20
  4. Step 4: Simplify right side
    78,363.20x = 3,342,246,774.72
  5. Step 5: Solve for x
    x = 3,342,246,774.72/78,363.20
  6. Step 6: Final answer
    x = 42,650.72

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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.