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Finding the Fourth Proportional to 97,595.49, 134,680.66 and 52,883.49

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Solution

The fourth proportional to 97,595.49, 134,680.66 and 52,883.49 is: 72,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,595.49 : 134,680.66 = 52,883.49 : x
  2. Step 2: Convert to fraction form
    97,595.49/134,680.66 = 52,883.49/x
  3. Step 3: Cross multiply
    97,595.49x = 134,680.66 × 52,883.49
  4. Step 4: Simplify right side
    97,595.49x = 7,122,383,336.30
  5. Step 5: Solve for x
    x = 7,122,383,336.30/97,595.49
  6. Step 6: Final answer
    x = 72,978.61

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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.