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Finding the Fourth Proportional to 97,854.75, 146,782.13 and 23,982.75

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Solution

The fourth proportional to 97,854.75, 146,782.13 and 23,982.75 is: 35,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,854.75 : 146,782.13 = 23,982.75 : x
  2. Step 2: Convert to fraction form
    97,854.75/146,782.13 = 23,982.75/x
  3. Step 3: Cross multiply
    97,854.75x = 146,782.13 × 23,982.75
  4. Step 4: Simplify right side
    97,854.75x = 3,520,239,008.34
  5. Step 5: Solve for x
    x = 3,520,239,008.34/97,854.75
  6. Step 6: Final answer
    x = 35,974.13

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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.