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Finding the Fourth Proportional to 32,998.88, 49,511.28 and 12,224

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Solution

The fourth proportional to 32,998.88, 49,511.28 and 12,224 is: 18,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998.88 : 49,511.28 = 12,224 : x
  2. Step 2: Convert to fraction form
    32,998.88/49,511.28 = 12,224/x
  3. Step 3: Cross multiply
    32,998.88x = 49,511.28 × 12,224
  4. Step 4: Simplify right side
    32,998.88x = 605,225,886.72
  5. Step 5: Solve for x
    x = 605,225,886.72/32,998.88
  6. Step 6: Final answer
    x = 18,340.80

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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.