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Finding the Fourth Proportional to 97,758.54, 134,906.31 and 53,046.54

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Solution

The fourth proportional to 97,758.54, 134,906.31 and 53,046.54 is: 73,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,758.54 : 134,906.31 = 53,046.54 : x
  2. Step 2: Convert to fraction form
    97,758.54/134,906.31 = 53,046.54/x
  3. Step 3: Cross multiply
    97,758.54x = 134,906.31 × 53,046.54
  4. Step 4: Simplify right side
    97,758.54x = 7,156,312,969.67
  5. Step 5: Solve for x
    x = 7,156,312,969.67/97,758.54
  6. Step 6: Final answer
    x = 73,203.97

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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.