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Finding the Fourth Proportional to 32,222.02, 48,313.62 and 14,449.46

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Solution

The fourth proportional to 32,222.02, 48,313.62 and 14,449.46 is: 21,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,222.02 : 48,313.62 = 14,449.46 : x
  2. Step 2: Convert to fraction form
    32,222.02/48,313.62 = 14,449.46/x
  3. Step 3: Cross multiply
    32,222.02x = 48,313.62 × 14,449.46
  4. Step 4: Simplify right side
    32,222.02x = 698,105,719.65
  5. Step 5: Solve for x
    x = 698,105,719.65/32,222.02
  6. Step 6: Final answer
    x = 21,665.49

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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.