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Finding the Fourth Proportional to 32,534.68, 48,801.50 and 10,347.73

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Solution

The fourth proportional to 32,534.68, 48,801.50 and 10,347.73 is: 15,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,534.68 : 48,801.50 = 10,347.73 : x
  2. Step 2: Convert to fraction form
    32,534.68/48,801.50 = 10,347.73/x
  3. Step 3: Cross multiply
    32,534.68x = 48,801.50 × 10,347.73
  4. Step 4: Simplify right side
    32,534.68x = 504,984,745.60
  5. Step 5: Solve for x
    x = 504,984,745.60/32,534.68
  6. Step 6: Final answer
    x = 15,521.43

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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.