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Finding the Fourth Proportional to 32,135.66, 48,213.33 and 14,381.26

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Solution

The fourth proportional to 32,135.66, 48,213.33 and 14,381.26 is: 21,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.66 : 48,213.33 = 14,381.26 : x
  2. Step 2: Convert to fraction form
    32,135.66/48,213.33 = 14,381.26/x
  3. Step 3: Cross multiply
    32,135.66x = 48,213.33 × 14,381.26
  4. Step 4: Simplify right side
    32,135.66x = 693,368,259.73
  5. Step 5: Solve for x
    x = 693,368,259.73/32,135.66
  6. Step 6: Final answer
    x = 21,576.29

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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.