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Finding the Fourth Proportional to 70,855.82, 97,780.42 and 39,024.04

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Solution

The fourth proportional to 70,855.82, 97,780.42 and 39,024.04 is: 53,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,855.82 : 97,780.42 = 39,024.04 : x
  2. Step 2: Convert to fraction form
    70,855.82/97,780.42 = 39,024.04/x
  3. Step 3: Cross multiply
    70,855.82x = 97,780.42 × 39,024.04
  4. Step 4: Simplify right side
    70,855.82x = 3,815,787,021.30
  5. Step 5: Solve for x
    x = 3,815,787,021.30/70,855.82
  6. Step 6: Final answer
    x = 53,852.84

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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.