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Finding the Fourth Proportional to 65,434.64, 98,162.28 and 27,994.95

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Solution

The fourth proportional to 65,434.64, 98,162.28 and 27,994.95 is: 41,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,434.64 : 98,162.28 = 27,994.95 : x
  2. Step 2: Convert to fraction form
    65,434.64/98,162.28 = 27,994.95/x
  3. Step 3: Cross multiply
    65,434.64x = 98,162.28 × 27,994.95
  4. Step 4: Simplify right side
    65,434.64x = 2,748,048,120.49
  5. Step 5: Solve for x
    x = 2,748,048,120.49/65,434.64
  6. Step 6: Final answer
    x = 41,996.84

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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.