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Finding the Fourth Proportional to 86,106.93, 118,828.98 and 47,346.38

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Solution

The fourth proportional to 86,106.93, 118,828.98 and 47,346.38 is: 65,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,106.93 : 118,828.98 = 47,346.38 : x
  2. Step 2: Convert to fraction form
    86,106.93/118,828.98 = 47,346.38/x
  3. Step 3: Cross multiply
    86,106.93x = 118,828.98 × 47,346.38
  4. Step 4: Simplify right side
    86,106.93x = 5,626,122,042.09
  5. Step 5: Solve for x
    x = 5,626,122,042.09/86,106.93
  6. Step 6: Final answer
    x = 65,338.78

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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.