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Finding the Fourth Proportional to 97,654.64, 146,481.95 and 31,115.16

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Solution

The fourth proportional to 97,654.64, 146,481.95 and 31,115.16 is: 46,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,654.64 : 146,481.95 = 31,115.16 : x
  2. Step 2: Convert to fraction form
    97,654.64/146,481.95 = 31,115.16/x
  3. Step 3: Cross multiply
    97,654.64x = 146,481.95 × 31,115.16
  4. Step 4: Simplify right side
    97,654.64x = 4,557,809,389.15
  5. Step 5: Solve for x
    x = 4,557,809,389.15/97,654.64
  6. Step 6: Final answer
    x = 46,672.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.