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Finding the Fourth Proportional to 32,450.94, 48,681.81 and 10,259.10

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Solution

The fourth proportional to 32,450.94, 48,681.81 and 10,259.10 is: 15,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,450.94 : 48,681.81 = 10,259.10 : x
  2. Step 2: Convert to fraction form
    32,450.94/48,681.81 = 10,259.10/x
  3. Step 3: Cross multiply
    32,450.94x = 48,681.81 × 10,259.10
  4. Step 4: Simplify right side
    32,450.94x = 499,431,556.97
  5. Step 5: Solve for x
    x = 499,431,556.97/32,450.94
  6. Step 6: Final answer
    x = 15,390.36

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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.