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Finding the Fourth Proportional to 109,873.25, 164,712.13 and 39,736.97

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Solution

The fourth proportional to 109,873.25, 164,712.13 and 39,736.97 is: 59,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,873.25 : 164,712.13 = 39,736.97 : x
  2. Step 2: Convert to fraction form
    109,873.25/164,712.13 = 39,736.97/x
  3. Step 3: Cross multiply
    109,873.25x = 164,712.13 × 39,736.97
  4. Step 4: Simplify right side
    109,873.25x = 6,545,160,968.45
  5. Step 5: Solve for x
    x = 6,545,160,968.45/109,873.25
  6. Step 6: Final answer
    x = 59,570.10

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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.