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Finding the Fourth Proportional to 70,924.80, 97,858.56 and 45,744

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Solution

The fourth proportional to 70,924.80, 97,858.56 and 45,744 is: 63,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,924.80 : 97,858.56 = 45,744 : x
  2. Step 2: Convert to fraction form
    70,924.80/97,858.56 = 45,744/x
  3. Step 3: Cross multiply
    70,924.80x = 97,858.56 × 45,744
  4. Step 4: Simplify right side
    70,924.80x = 4,476,441,968.64
  5. Step 5: Solve for x
    x = 4,476,441,968.64/70,924.80
  6. Step 6: Final answer
    x = 63,115.33

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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.