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Finding the Fourth Proportional to 65,936.84, 90,992.57 and 35,722.10

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Solution

The fourth proportional to 65,936.84, 90,992.57 and 35,722.10 is: 49,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,936.84 : 90,992.57 = 35,722.10 : x
  2. Step 2: Convert to fraction form
    65,936.84/90,992.57 = 35,722.10/x
  3. Step 3: Cross multiply
    65,936.84x = 90,992.57 × 35,722.10
  4. Step 4: Simplify right side
    65,936.84x = 3,250,445,605.71
  5. Step 5: Solve for x
    x = 3,250,445,605.71/65,936.84
  6. Step 6: Final answer
    x = 49,296.35

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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.