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Finding the Fourth Proportional to 64,193.46, 96,298.41 and 19,824.72

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Solution

The fourth proportional to 64,193.46, 96,298.41 and 19,824.72 is: 29,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,193.46 : 96,298.41 = 19,824.72 : x
  2. Step 2: Convert to fraction form
    64,193.46/96,298.41 = 19,824.72/x
  3. Step 3: Cross multiply
    64,193.46x = 96,298.41 × 19,824.72
  4. Step 4: Simplify right side
    64,193.46x = 1,909,089,014.70
  5. Step 5: Solve for x
    x = 1,909,089,014.70/64,193.46
  6. Step 6: Final answer
    x = 29,739.62

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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.