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Finding the Fourth Proportional to 70,893.82, 97,829.94 and 39,057.58

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Solution

The fourth proportional to 70,893.82, 97,829.94 and 39,057.58 is: 53,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,893.82 : 97,829.94 = 39,057.58 : x
  2. Step 2: Convert to fraction form
    70,893.82/97,829.94 = 39,057.58/x
  3. Step 3: Cross multiply
    70,893.82x = 97,829.94 × 39,057.58
  4. Step 4: Simplify right side
    70,893.82x = 3,821,000,707.95
  5. Step 5: Solve for x
    x = 3,821,000,707.95/70,893.82
  6. Step 6: Final answer
    x = 53,897.51

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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.