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Finding the Fourth Proportional to 32,468.22, 48,703.14 and 9,096.48

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Solution

The fourth proportional to 32,468.22, 48,703.14 and 9,096.48 is: 13,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.22 : 48,703.14 = 9,096.48 : x
  2. Step 2: Convert to fraction form
    32,468.22/48,703.14 = 9,096.48/x
  3. Step 3: Cross multiply
    32,468.22x = 48,703.14 × 9,096.48
  4. Step 4: Simplify right side
    32,468.22x = 443,027,138.95
  5. Step 5: Solve for x
    x = 443,027,138.95/32,468.22
  6. Step 6: Final answer
    x = 13,644.95

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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.