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Finding the Fourth Proportional to 97,406, 134,420.40 and 52,694

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Solution

The fourth proportional to 97,406, 134,420.40 and 52,694 is: 72,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,406 : 134,420.40 = 52,694 : x
  2. Step 2: Convert to fraction form
    97,406/134,420.40 = 52,694/x
  3. Step 3: Cross multiply
    97,406x = 134,420.40 × 52,694
  4. Step 4: Simplify right side
    97,406x = 7,083,148,557.60
  5. Step 5: Solve for x
    x = 7,083,148,557.60/97,406
  6. Step 6: Final answer
    x = 72,717.78

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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.