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Finding the Fourth Proportional to 32,145.17, 48,229.29 and 14,374.31

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Solution

The fourth proportional to 32,145.17, 48,229.29 and 14,374.31 is: 21,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.17 : 48,229.29 = 14,374.31 : x
  2. Step 2: Convert to fraction form
    32,145.17/48,229.29 = 14,374.31/x
  3. Step 3: Cross multiply
    32,145.17x = 48,229.29 × 14,374.31
  4. Step 4: Simplify right side
    32,145.17x = 693,262,524.39
  5. Step 5: Solve for x
    x = 693,262,524.39/32,145.17
  6. Step 6: Final answer
    x = 21,566.62

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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.