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Finding the Fourth Proportional to 32,048.64, 48,096 and 19,745.28

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Solution

The fourth proportional to 32,048.64, 48,096 and 19,745.28 is: 29,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.64 : 48,096 = 19,745.28 : x
  2. Step 2: Convert to fraction form
    32,048.64/48,096 = 19,745.28/x
  3. Step 3: Cross multiply
    32,048.64x = 48,096 × 19,745.28
  4. Step 4: Simplify right side
    32,048.64x = 949,668,986.88
  5. Step 5: Solve for x
    x = 949,668,986.88/32,048.64
  6. Step 6: Final answer
    x = 29,632.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.