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Finding the Fourth Proportional to 32,668.96, 49,002.56 and 10,483.84

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Solution

The fourth proportional to 32,668.96, 49,002.56 and 10,483.84 is: 15,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,668.96 : 49,002.56 = 10,483.84 : x
  2. Step 2: Convert to fraction form
    32,668.96/49,002.56 = 10,483.84/x
  3. Step 3: Cross multiply
    32,668.96x = 49,002.56 × 10,483.84
  4. Step 4: Simplify right side
    32,668.96x = 513,734,998.63
  5. Step 5: Solve for x
    x = 513,734,998.63/32,668.96
  6. Step 6: Final answer
    x = 15,725.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.