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Finding the Fourth Proportional to 65,071, 89,797.98 and 35,263

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Solution

The fourth proportional to 65,071, 89,797.98 and 35,263 is: 48,662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,071 : 89,797.98 = 35,263 : x
  2. Step 2: Convert to fraction form
    65,071/89,797.98 = 35,263/x
  3. Step 3: Cross multiply
    65,071x = 89,797.98 × 35,263
  4. Step 4: Simplify right side
    65,071x = 3,166,546,168.74
  5. Step 5: Solve for x
    x = 3,166,546,168.74/65,071
  6. Step 6: Final answer
    x = 48,662.94

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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.