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Finding the Fourth Proportional to 71,216.01, 106,810.65 and 33,254.96

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Solution

The fourth proportional to 71,216.01, 106,810.65 and 33,254.96 is: 49,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,216.01 : 106,810.65 = 33,254.96 : x
  2. Step 2: Convert to fraction form
    71,216.01/106,810.65 = 33,254.96/x
  3. Step 3: Cross multiply
    71,216.01x = 106,810.65 × 33,254.96
  4. Step 4: Simplify right side
    71,216.01x = 3,551,983,359.27
  5. Step 5: Solve for x
    x = 3,551,983,359.27/71,216.01
  6. Step 6: Final answer
    x = 49,876.19

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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.