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Finding the Fourth Proportional to 29,677.66, 44,511.66 and 10,966.50

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Solution

The fourth proportional to 29,677.66, 44,511.66 and 10,966.50 is: 16,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677.66 : 44,511.66 = 10,966.50 : x
  2. Step 2: Convert to fraction form
    29,677.66/44,511.66 = 10,966.50/x
  3. Step 3: Cross multiply
    29,677.66x = 44,511.66 × 10,966.50
  4. Step 4: Simplify right side
    29,677.66x = 488,137,119.39
  5. Step 5: Solve for x
    x = 488,137,119.39/29,677.66
  6. Step 6: Final answer
    x = 16,447.97

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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.