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Finding the Fourth Proportional to 97,730.54, 134,749.95 and 82,596.50

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Solution

The fourth proportional to 97,730.54, 134,749.95 and 82,596.50 is: 113,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,730.54 : 134,749.95 = 82,596.50 : x
  2. Step 2: Convert to fraction form
    97,730.54/134,749.95 = 82,596.50/x
  3. Step 3: Cross multiply
    97,730.54x = 134,749.95 × 82,596.50
  4. Step 4: Simplify right side
    97,730.54x = 11,129,874,245.18
  5. Step 5: Solve for x
    x = 11,129,874,245.18/97,730.54
  6. Step 6: Final answer
    x = 113,883.28

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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.