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Finding the Fourth Proportional to 71,876.85, 107,836.08 and 29,749.16

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Solution

The fourth proportional to 71,876.85, 107,836.08 and 29,749.16 is: 44,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,876.85 : 107,836.08 = 29,749.16 : x
  2. Step 2: Convert to fraction form
    71,876.85/107,836.08 = 29,749.16/x
  3. Step 3: Cross multiply
    71,876.85x = 107,836.08 × 29,749.16
  4. Step 4: Simplify right side
    71,876.85x = 3,208,032,258.51
  5. Step 5: Solve for x
    x = 3,208,032,258.51/71,876.85
  6. Step 6: Final answer
    x = 44,632.34

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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.