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Finding the Fourth Proportional to 32,646.43, 48,963.25 and 10,453.87

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Solution

The fourth proportional to 32,646.43, 48,963.25 and 10,453.87 is: 15,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646.43 : 48,963.25 = 10,453.87 : x
  2. Step 2: Convert to fraction form
    32,646.43/48,963.25 = 10,453.87/x
  3. Step 3: Cross multiply
    32,646.43x = 48,963.25 × 10,453.87
  4. Step 4: Simplify right side
    32,646.43x = 511,855,450.28
  5. Step 5: Solve for x
    x = 511,855,450.28/32,646.43
  6. Step 6: Final answer
    x = 15,678.76

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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.