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Finding the Fourth Proportional to 32,378.68, 48,555.26 and 15,733.80

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Solution

The fourth proportional to 32,378.68, 48,555.26 and 15,733.80 is: 23,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378.68 : 48,555.26 = 15,733.80 : x
  2. Step 2: Convert to fraction form
    32,378.68/48,555.26 = 15,733.80/x
  3. Step 3: Cross multiply
    32,378.68x = 48,555.26 × 15,733.80
  4. Step 4: Simplify right side
    32,378.68x = 763,958,749.79
  5. Step 5: Solve for x
    x = 763,958,749.79/32,378.68
  6. Step 6: Final answer
    x = 23,594.50

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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.