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Finding the Fourth Proportional to 97,729.54, 134,748.57 and 82,595.50

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Solution

The fourth proportional to 97,729.54, 134,748.57 and 82,595.50 is: 113,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,729.54 : 134,748.57 = 82,595.50 : x
  2. Step 2: Convert to fraction form
    97,729.54/134,748.57 = 82,595.50/x
  3. Step 3: Cross multiply
    97,729.54x = 134,748.57 × 82,595.50
  4. Step 4: Simplify right side
    97,729.54x = 11,129,625,513.44
  5. Step 5: Solve for x
    x = 11,129,625,513.44/97,729.54
  6. Step 6: Final answer
    x = 113,881.90

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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.