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Finding the Fourth Proportional to 70,973.82, 97,940.34 and 39,140.82

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Solution

The fourth proportional to 70,973.82, 97,940.34 and 39,140.82 is: 54,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,973.82 : 97,940.34 = 39,140.82 : x
  2. Step 2: Convert to fraction form
    70,973.82/97,940.34 = 39,140.82/x
  3. Step 3: Cross multiply
    70,973.82x = 97,940.34 × 39,140.82
  4. Step 4: Simplify right side
    70,973.82x = 3,833,465,218.68
  5. Step 5: Solve for x
    x = 3,833,465,218.68/70,973.82
  6. Step 6: Final answer
    x = 54,012.38

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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.