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Finding the Fourth Proportional to 32,222.52, 48,314.37 and 14,449.97

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Solution

The fourth proportional to 32,222.52, 48,314.37 and 14,449.97 is: 21,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,222.52 : 48,314.37 = 14,449.97 : x
  2. Step 2: Convert to fraction form
    32,222.52/48,314.37 = 14,449.97/x
  3. Step 3: Cross multiply
    32,222.52x = 48,314.37 × 14,449.97
  4. Step 4: Simplify right side
    32,222.52x = 698,140,883.25
  5. Step 5: Solve for x
    x = 698,140,883.25/32,222.52
  6. Step 6: Final answer
    x = 21,666.24

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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.