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Finding the Fourth Proportional to 57,143.80, 85,659 and 28,980.10

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Solution

The fourth proportional to 57,143.80, 85,659 and 28,980.10 is: 43,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,143.80 : 85,659 = 28,980.10 : x
  2. Step 2: Convert to fraction form
    57,143.80/85,659 = 28,980.10/x
  3. Step 3: Cross multiply
    57,143.80x = 85,659 × 28,980.10
  4. Step 4: Simplify right side
    57,143.80x = 2,482,406,385.90
  5. Step 5: Solve for x
    x = 2,482,406,385.90/57,143.80
  6. Step 6: Final answer
    x = 43,441.39

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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.