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Finding the Fourth Proportional to 52,596.56, 78,945.24 and 32,914.64

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Solution

The fourth proportional to 52,596.56, 78,945.24 and 32,914.64 is: 49,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,596.56 : 78,945.24 = 32,914.64 : x
  2. Step 2: Convert to fraction form
    52,596.56/78,945.24 = 32,914.64/x
  3. Step 3: Cross multiply
    52,596.56x = 78,945.24 × 32,914.64
  4. Step 4: Simplify right side
    52,596.56x = 2,598,454,154.31
  5. Step 5: Solve for x
    x = 2,598,454,154.31/52,596.56
  6. Step 6: Final answer
    x = 49,403.50

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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.