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Finding the Fourth Proportional to 65,205.84, 89,984.52 and 35,397.84

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Solution

The fourth proportional to 65,205.84, 89,984.52 and 35,397.84 is: 48,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.84 : 89,984.52 = 35,397.84 : x
  2. Step 2: Convert to fraction form
    65,205.84/89,984.52 = 35,397.84/x
  3. Step 3: Cross multiply
    65,205.84x = 89,984.52 × 35,397.84
  4. Step 4: Simplify right side
    65,205.84x = 3,185,257,641.44
  5. Step 5: Solve for x
    x = 3,185,257,641.44/65,205.84
  6. Step 6: Final answer
    x = 48,849.27

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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.