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Finding the Fourth Proportional to 32,009.85, 48,009.24 and 14,475.60

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Solution

The fourth proportional to 32,009.85, 48,009.24 and 14,475.60 is: 21,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.85 : 48,009.24 = 14,475.60 : x
  2. Step 2: Convert to fraction form
    32,009.85/48,009.24 = 14,475.60/x
  3. Step 3: Cross multiply
    32,009.85x = 48,009.24 × 14,475.60
  4. Step 4: Simplify right side
    32,009.85x = 694,962,554.54
  5. Step 5: Solve for x
    x = 694,962,554.54/32,009.85
  6. Step 6: Final answer
    x = 21,710.90

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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.