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Finding the Fourth Proportional to 71,100.24, 106,664.76 and 21,181.20

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Solution

The fourth proportional to 71,100.24, 106,664.76 and 21,181.20 is: 31,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,100.24 : 106,664.76 = 21,181.20 : x
  2. Step 2: Convert to fraction form
    71,100.24/106,664.76 = 21,181.20/x
  3. Step 3: Cross multiply
    71,100.24x = 106,664.76 × 21,181.20
  4. Step 4: Simplify right side
    71,100.24x = 2,259,287,614.51
  5. Step 5: Solve for x
    x = 2,259,287,614.51/71,100.24
  6. Step 6: Final answer
    x = 31,776.09

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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.