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Finding the Fourth Proportional to 78,338.89, 108,107.38 and 42,528.64

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Solution

The fourth proportional to 78,338.89, 108,107.38 and 42,528.64 is: 58,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,338.89 : 108,107.38 = 42,528.64 : x
  2. Step 2: Convert to fraction form
    78,338.89/108,107.38 = 42,528.64/x
  3. Step 3: Cross multiply
    78,338.89x = 108,107.38 × 42,528.64
  4. Step 4: Simplify right side
    78,338.89x = 4,597,659,845.36
  5. Step 5: Solve for x
    x = 4,597,659,845.36/78,338.89
  6. Step 6: Final answer
    x = 58,689.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.