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Finding the Fourth Proportional to 55,027.89, 75,970.71 and 39,906

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Solution

The fourth proportional to 55,027.89, 75,970.71 and 39,906 is: 55,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,027.89 : 75,970.71 = 39,906 : x
  2. Step 2: Convert to fraction form
    55,027.89/75,970.71 = 39,906/x
  3. Step 3: Cross multiply
    55,027.89x = 75,970.71 × 39,906
  4. Step 4: Simplify right side
    55,027.89x = 3,031,687,153.26
  5. Step 5: Solve for x
    x = 3,031,687,153.26/55,027.89
  6. Step 6: Final answer
    x = 55,093.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.