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Finding the Fourth Proportional to 52,495.31, 78,750.90 and 16,944.75

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Solution

The fourth proportional to 52,495.31, 78,750.90 and 16,944.75 is: 25,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,495.31 : 78,750.90 = 16,944.75 : x
  2. Step 2: Convert to fraction form
    52,495.31/78,750.90 = 16,944.75/x
  3. Step 3: Cross multiply
    52,495.31x = 78,750.90 × 16,944.75
  4. Step 4: Simplify right side
    52,495.31x = 1,334,414,312.78
  5. Step 5: Solve for x
    x = 1,334,414,312.78/52,495.31
  6. Step 6: Final answer
    x = 25,419.69

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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.