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Finding the Fourth Proportional to 65,908.89, 90,954.29 and 35,694.47

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Solution

The fourth proportional to 65,908.89, 90,954.29 and 35,694.47 is: 49,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,908.89 : 90,954.29 = 35,694.47 : x
  2. Step 2: Convert to fraction form
    65,908.89/90,954.29 = 35,694.47/x
  3. Step 3: Cross multiply
    65,908.89x = 90,954.29 × 35,694.47
  4. Step 4: Simplify right side
    65,908.89x = 3,246,565,492.40
  5. Step 5: Solve for x
    x = 3,246,565,492.40/65,908.89
  6. Step 6: Final answer
    x = 49,258.39

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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.