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Finding the Fourth Proportional to 65,694.84, 98,182.25 and 47,962.84

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Solution

The fourth proportional to 65,694.84, 98,182.25 and 47,962.84 is: 71,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,694.84 : 98,182.25 = 47,962.84 : x
  2. Step 2: Convert to fraction form
    65,694.84/98,182.25 = 47,962.84/x
  3. Step 3: Cross multiply
    65,694.84x = 98,182.25 × 47,962.84
  4. Step 4: Simplify right side
    65,694.84x = 4,709,099,790.22
  5. Step 5: Solve for x
    x = 4,709,099,790.22/65,694.84
  6. Step 6: Final answer
    x = 71,681.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.