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Finding the Fourth Proportional to 71,133.66, 106,677.81 and 29,013.66

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Solution

The fourth proportional to 71,133.66, 106,677.81 and 29,013.66 is: 43,511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,133.66 : 106,677.81 = 29,013.66 : x
  2. Step 2: Convert to fraction form
    71,133.66/106,677.81 = 29,013.66/x
  3. Step 3: Cross multiply
    71,133.66x = 106,677.81 × 29,013.66
  4. Step 4: Simplify right side
    71,133.66x = 3,095,113,708.88
  5. Step 5: Solve for x
    x = 3,095,113,708.88/71,133.66
  6. Step 6: Final answer
    x = 43,511.24

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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.