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Finding the Fourth Proportional to 78,529, 108,370.02 and 43,201

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Solution

The fourth proportional to 78,529, 108,370.02 and 43,201 is: 59,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,529 : 108,370.02 = 43,201 : x
  2. Step 2: Convert to fraction form
    78,529/108,370.02 = 43,201/x
  3. Step 3: Cross multiply
    78,529x = 108,370.02 × 43,201
  4. Step 4: Simplify right side
    78,529x = 4,681,693,234.02
  5. Step 5: Solve for x
    x = 4,681,693,234.02/78,529
  6. Step 6: Final answer
    x = 59,617.38

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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.