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Finding the Fourth Proportional to 86,032.38, 118,721.39 and 47,794.34

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Solution

The fourth proportional to 86,032.38, 118,721.39 and 47,794.34 is: 65,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,032.38 : 118,721.39 = 47,794.34 : x
  2. Step 2: Convert to fraction form
    86,032.38/118,721.39 = 47,794.34/x
  3. Step 3: Cross multiply
    86,032.38x = 118,721.39 × 47,794.34
  4. Step 4: Simplify right side
    86,032.38x = 5,674,210,478.93
  5. Step 5: Solve for x
    x = 5,674,210,478.93/86,032.38
  6. Step 6: Final answer
    x = 65,954.36

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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.