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Finding the Fourth Proportional to 32,976.36, 49,428.36 and 15,431.76

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Solution

The fourth proportional to 32,976.36, 49,428.36 and 15,431.76 is: 23,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976.36 : 49,428.36 = 15,431.76 : x
  2. Step 2: Convert to fraction form
    32,976.36/49,428.36 = 15,431.76/x
  3. Step 3: Cross multiply
    32,976.36x = 49,428.36 × 15,431.76
  4. Step 4: Simplify right side
    32,976.36x = 762,766,588.71
  5. Step 5: Solve for x
    x = 762,766,588.71/32,976.36
  6. Step 6: Final answer
    x = 23,130.71

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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.