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Finding the Fourth Proportional to 28,108.80, 42,165.36 and 8,385.84

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Solution

The fourth proportional to 28,108.80, 42,165.36 and 8,385.84 is: 12,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,108.80 : 42,165.36 = 8,385.84 : x
  2. Step 2: Convert to fraction form
    28,108.80/42,165.36 = 8,385.84/x
  3. Step 3: Cross multiply
    28,108.80x = 42,165.36 × 8,385.84
  4. Step 4: Simplify right side
    28,108.80x = 353,591,962.50
  5. Step 5: Solve for x
    x = 353,591,962.50/28,108.80
  6. Step 6: Final answer
    x = 12,579.40

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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.