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Finding the Fourth Proportional to 97,817.70, 146,654.76 and 31,219.44

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Solution

The fourth proportional to 97,817.70, 146,654.76 and 31,219.44 is: 46,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,817.70 : 146,654.76 = 31,219.44 : x
  2. Step 2: Convert to fraction form
    97,817.70/146,654.76 = 31,219.44/x
  3. Step 3: Cross multiply
    97,817.70x = 146,654.76 × 31,219.44
  4. Step 4: Simplify right side
    97,817.70x = 4,578,479,480.53
  5. Step 5: Solve for x
    x = 4,578,479,480.53/97,817.70
  6. Step 6: Final answer
    x = 46,806.25

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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.