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Finding the Fourth Proportional to 71,292.15, 106,898.40 and 29,201.58

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Solution

The fourth proportional to 71,292.15, 106,898.40 and 29,201.58 is: 43,786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,292.15 : 106,898.40 = 29,201.58 : x
  2. Step 2: Convert to fraction form
    71,292.15/106,898.40 = 29,201.58/x
  3. Step 3: Cross multiply
    71,292.15x = 106,898.40 × 29,201.58
  4. Step 4: Simplify right side
    71,292.15x = 3,121,602,179.47
  5. Step 5: Solve for x
    x = 3,121,602,179.47/71,292.15
  6. Step 6: Final answer
    x = 43,786.06

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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.