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Finding the Fourth Proportional to 32,727, 49,084.22 and 9,028.65

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Solution

The fourth proportional to 32,727, 49,084.22 and 9,028.65 is: 13,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,727 : 49,084.22 = 9,028.65 : x
  2. Step 2: Convert to fraction form
    32,727/49,084.22 = 9,028.65/x
  3. Step 3: Cross multiply
    32,727x = 49,084.22 × 9,028.65
  4. Step 4: Simplify right side
    32,727x = 443,164,242.90
  5. Step 5: Solve for x
    x = 443,164,242.90/32,727
  6. Step 6: Final answer
    x = 13,541.24

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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.