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Finding the Fourth Proportional to 83,705.81, 115,481.30 and 47,876.67

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Solution

The fourth proportional to 83,705.81, 115,481.30 and 47,876.67 is: 66,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,705.81 : 115,481.30 = 47,876.67 : x
  2. Step 2: Convert to fraction form
    83,705.81/115,481.30 = 47,876.67/x
  3. Step 3: Cross multiply
    83,705.81x = 115,481.30 × 47,876.67
  4. Step 4: Simplify right side
    83,705.81x = 5,528,859,851.89
  5. Step 5: Solve for x
    x = 5,528,859,851.89/83,705.81
  6. Step 6: Final answer
    x = 66,051.09

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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.