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Finding the Fourth Proportional to 32,882.64, 49,302.29 and 11,812.11

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Solution

The fourth proportional to 32,882.64, 49,302.29 and 11,812.11 is: 17,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,882.64 : 49,302.29 = 11,812.11 : x
  2. Step 2: Convert to fraction form
    32,882.64/49,302.29 = 11,812.11/x
  3. Step 3: Cross multiply
    32,882.64x = 49,302.29 × 11,812.11
  4. Step 4: Simplify right side
    32,882.64x = 582,364,013.67
  5. Step 5: Solve for x
    x = 582,364,013.67/32,882.64
  6. Step 6: Final answer
    x = 17,710.38

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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.