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Finding the Fourth Proportional to 65,679.84, 98,534.16 and 21,311.08

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Solution

The fourth proportional to 65,679.84, 98,534.16 and 21,311.08 is: 31,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,679.84 : 98,534.16 = 21,311.08 : x
  2. Step 2: Convert to fraction form
    65,679.84/98,534.16 = 21,311.08/x
  3. Step 3: Cross multiply
    65,679.84x = 98,534.16 × 21,311.08
  4. Step 4: Simplify right side
    65,679.84x = 2,099,869,366.49
  5. Step 5: Solve for x
    x = 2,099,869,366.49/65,679.84
  6. Step 6: Final answer
    x = 31,971.29

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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.