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Finding the Fourth Proportional to 59,577.60, 82,211.94 and 34,078.80

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Solution

The fourth proportional to 59,577.60, 82,211.94 and 34,078.80 is: 47,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,577.60 : 82,211.94 = 34,078.80 : x
  2. Step 2: Convert to fraction form
    59,577.60/82,211.94 = 34,078.80/x
  3. Step 3: Cross multiply
    59,577.60x = 82,211.94 × 34,078.80
  4. Step 4: Simplify right side
    59,577.60x = 2,801,684,260.87
  5. Step 5: Solve for x
    x = 2,801,684,260.87/59,577.60
  6. Step 6: Final answer
    x = 47,025.80

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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.