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Finding the Fourth Proportional to 97,691.94, 146,548.65 and 31,116.54

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Solution

The fourth proportional to 97,691.94, 146,548.65 and 31,116.54 is: 46,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,691.94 : 146,548.65 = 31,116.54 : x
  2. Step 2: Convert to fraction form
    97,691.94/146,548.65 = 31,116.54/x
  3. Step 3: Cross multiply
    97,691.94x = 146,548.65 × 31,116.54
  4. Step 4: Simplify right side
    97,691.94x = 4,560,086,929.67
  5. Step 5: Solve for x
    x = 4,560,086,929.67/97,691.94
  6. Step 6: Final answer
    x = 46,678.23

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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.