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Finding the Fourth Proportional to 32,028, 48,029.76 and 15,383.28

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Solution

The fourth proportional to 32,028, 48,029.76 and 15,383.28 is: 23,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,028 : 48,029.76 = 15,383.28 : x
  2. Step 2: Convert to fraction form
    32,028/48,029.76 = 15,383.28/x
  3. Step 3: Cross multiply
    32,028x = 48,029.76 × 15,383.28
  4. Step 4: Simplify right side
    32,028x = 738,855,246.41
  5. Step 5: Solve for x
    x = 738,855,246.41/32,028
  6. Step 6: Final answer
    x = 23,069.04

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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.