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Finding the Fourth Proportional to 97,389, 134,396.82 and 52,677

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Solution

The fourth proportional to 97,389, 134,396.82 and 52,677 is: 72,694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,389 : 134,396.82 = 52,677 : x
  2. Step 2: Convert to fraction form
    97,389/134,396.82 = 52,677/x
  3. Step 3: Cross multiply
    97,389x = 134,396.82 × 52,677
  4. Step 4: Simplify right side
    97,389x = 7,079,621,287.14
  5. Step 5: Solve for x
    x = 7,079,621,287.14/97,389
  6. Step 6: Final answer
    x = 72,694.26

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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.