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Finding the Fourth Proportional to 59,825.40, 89,738.10 and 34,893.60

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Solution

The fourth proportional to 59,825.40, 89,738.10 and 34,893.60 is: 52,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,825.40 : 89,738.10 = 34,893.60 : x
  2. Step 2: Convert to fraction form
    59,825.40/89,738.10 = 34,893.60/x
  3. Step 3: Cross multiply
    59,825.40x = 89,738.10 × 34,893.60
  4. Step 4: Simplify right side
    59,825.40x = 3,131,285,366.16
  5. Step 5: Solve for x
    x = 3,131,285,366.16/59,825.40
  6. Step 6: Final answer
    x = 52,340.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.