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Finding the Fourth Proportional to 32,614.14, 48,917.07 and 10,425.68

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Solution

The fourth proportional to 32,614.14, 48,917.07 and 10,425.68 is: 15,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,614.14 : 48,917.07 = 10,425.68 : x
  2. Step 2: Convert to fraction form
    32,614.14/48,917.07 = 10,425.68/x
  3. Step 3: Cross multiply
    32,614.14x = 48,917.07 × 10,425.68
  4. Step 4: Simplify right side
    32,614.14x = 509,993,718.36
  5. Step 5: Solve for x
    x = 509,993,718.36/32,614.14
  6. Step 6: Final answer
    x = 15,637.20

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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.