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Finding the Fourth Proportional to 32,064.20, 48,106.01 and 15,419.51

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Solution

The fourth proportional to 32,064.20, 48,106.01 and 15,419.51 is: 23,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.20 : 48,106.01 = 15,419.51 : x
  2. Step 2: Convert to fraction form
    32,064.20/48,106.01 = 15,419.51/x
  3. Step 3: Cross multiply
    32,064.20x = 48,106.01 × 15,419.51
  4. Step 4: Simplify right side
    32,064.20x = 741,770,900.27
  5. Step 5: Solve for x
    x = 741,770,900.27/32,064.20
  6. Step 6: Final answer
    x = 23,133.93

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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.