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Finding the Fourth Proportional to 32,782.28, 49,155.16 and 15,235.24

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Solution

The fourth proportional to 32,782.28, 49,155.16 and 15,235.24 is: 22,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,782.28 : 49,155.16 = 15,235.24 : x
  2. Step 2: Convert to fraction form
    32,782.28/49,155.16 = 15,235.24/x
  3. Step 3: Cross multiply
    32,782.28x = 49,155.16 × 15,235.24
  4. Step 4: Simplify right side
    32,782.28x = 748,890,659.84
  5. Step 5: Solve for x
    x = 748,890,659.84/32,782.28
  6. Step 6: Final answer
    x = 22,844.37

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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.