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Finding the Fourth Proportional to 32,782.32, 49,162.32 and 13,055.52

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Solution

The fourth proportional to 32,782.32, 49,162.32 and 13,055.52 is: 19,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,782.32 : 49,162.32 = 13,055.52 : x
  2. Step 2: Convert to fraction form
    32,782.32/49,162.32 = 13,055.52/x
  3. Step 3: Cross multiply
    32,782.32x = 49,162.32 × 13,055.52
  4. Step 4: Simplify right side
    32,782.32x = 641,839,652.01
  5. Step 5: Solve for x
    x = 641,839,652.01/32,782.32
  6. Step 6: Final answer
    x = 19,578.84

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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.