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Finding the Fourth Proportional to 117,296.10, 175,944.42 and 28,549.44

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Solution

The fourth proportional to 117,296.10, 175,944.42 and 28,549.44 is: 42,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,296.10 : 175,944.42 = 28,549.44 : x
  2. Step 2: Convert to fraction form
    117,296.10/175,944.42 = 28,549.44/x
  3. Step 3: Cross multiply
    117,296.10x = 175,944.42 × 28,549.44
  4. Step 4: Simplify right side
    117,296.10x = 5,023,114,662.12
  5. Step 5: Solve for x
    x = 5,023,114,662.12/117,296.10
  6. Step 6: Final answer
    x = 42,824.23

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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.