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Finding the Fourth Proportional to 32,065.65, 48,072.57 and 13,359.78

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Solution

The fourth proportional to 32,065.65, 48,072.57 and 13,359.78 is: 20,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.65 : 48,072.57 = 13,359.78 : x
  2. Step 2: Convert to fraction form
    32,065.65/48,072.57 = 13,359.78/x
  3. Step 3: Cross multiply
    32,065.65x = 48,072.57 × 13,359.78
  4. Step 4: Simplify right side
    32,065.65x = 642,238,959.23
  5. Step 5: Solve for x
    x = 642,238,959.23/32,065.65
  6. Step 6: Final answer
    x = 20,028.88

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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.