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Finding the Fourth Proportional to 71,887.51, 107,881.68 and 29,768.32

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Solution

The fourth proportional to 71,887.51, 107,881.68 and 29,768.32 is: 44,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,887.51 : 107,881.68 = 29,768.32 : x
  2. Step 2: Convert to fraction form
    71,887.51/107,881.68 = 29,768.32/x
  3. Step 3: Cross multiply
    71,887.51x = 107,881.68 × 29,768.32
  4. Step 4: Simplify right side
    71,887.51x = 3,211,456,372.38
  5. Step 5: Solve for x
    x = 3,211,456,372.38/71,887.51
  6. Step 6: Final answer
    x = 44,673.36

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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.