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Finding the Fourth Proportional to 97,728.54, 134,747.19 and 82,594.50

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Solution

The fourth proportional to 97,728.54, 134,747.19 and 82,594.50 is: 113,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,728.54 : 134,747.19 = 82,594.50 : x
  2. Step 2: Convert to fraction form
    97,728.54/134,747.19 = 82,594.50/x
  3. Step 3: Cross multiply
    97,728.54x = 134,747.19 × 82,594.50
  4. Step 4: Simplify right side
    97,728.54x = 11,129,376,784.46
  5. Step 5: Solve for x
    x = 11,129,376,784.46/97,728.54
  6. Step 6: Final answer
    x = 113,880.52

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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.