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Finding the Fourth Proportional to 49,501.89, 74,256.48 and 21,449.16

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Solution

The fourth proportional to 49,501.89, 74,256.48 and 21,449.16 is: 32,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,501.89 : 74,256.48 = 21,449.16 : x
  2. Step 2: Convert to fraction form
    49,501.89/74,256.48 = 21,449.16/x
  3. Step 3: Cross multiply
    49,501.89x = 74,256.48 × 21,449.16
  4. Step 4: Simplify right side
    49,501.89x = 1,592,739,120.56
  5. Step 5: Solve for x
    x = 1,592,739,120.56/49,501.89
  6. Step 6: Final answer
    x = 32,175.32

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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.