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Finding the Fourth Proportional to 70,858.60, 97,784.86 and 39,027.49

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Solution

The fourth proportional to 70,858.60, 97,784.86 and 39,027.49 is: 53,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,858.60 : 97,784.86 = 39,027.49 : x
  2. Step 2: Convert to fraction form
    70,858.60/97,784.86 = 39,027.49/x
  3. Step 3: Cross multiply
    70,858.60x = 97,784.86 × 39,027.49
  4. Step 4: Simplify right side
    70,858.60x = 3,816,297,645.80
  5. Step 5: Solve for x
    x = 3,816,297,645.80/70,858.60
  6. Step 6: Final answer
    x = 53,857.93

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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.