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Finding the Fourth Proportional to 70,859.25, 97,784.28 and 39,028.41

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Solution

The fourth proportional to 70,859.25, 97,784.28 and 39,028.41 is: 53,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,859.25 : 97,784.28 = 39,028.41 : x
  2. Step 2: Convert to fraction form
    70,859.25/97,784.28 = 39,028.41/x
  3. Step 3: Cross multiply
    70,859.25x = 97,784.28 × 39,028.41
  4. Step 4: Simplify right side
    70,859.25x = 3,816,364,971.39
  5. Step 5: Solve for x
    x = 3,816,364,971.39/70,859.25
  6. Step 6: Final answer
    x = 53,858.39

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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.