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Finding the Fourth Proportional to 32,365.58, 48,567.22 and 13,644.46

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Solution

The fourth proportional to 32,365.58, 48,567.22 and 13,644.46 is: 20,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,365.58 : 48,567.22 = 13,644.46 : x
  2. Step 2: Convert to fraction form
    32,365.58/48,567.22 = 13,644.46/x
  3. Step 3: Cross multiply
    32,365.58x = 48,567.22 × 13,644.46
  4. Step 4: Simplify right side
    32,365.58x = 662,673,490.60
  5. Step 5: Solve for x
    x = 662,673,490.60/32,365.58
  6. Step 6: Final answer
    x = 20,474.64

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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.