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Finding the Fourth Proportional to 32,379.68, 48,556.76 and 15,734.80

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Solution

The fourth proportional to 32,379.68, 48,556.76 and 15,734.80 is: 23,596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,379.68 : 48,556.76 = 15,734.80 : x
  2. Step 2: Convert to fraction form
    32,379.68/48,556.76 = 15,734.80/x
  3. Step 3: Cross multiply
    32,379.68x = 48,556.76 × 15,734.80
  4. Step 4: Simplify right side
    32,379.68x = 764,030,907.25
  5. Step 5: Solve for x
    x = 764,030,907.25/32,379.68
  6. Step 6: Final answer
    x = 23,596.00

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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.