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Finding the Fourth Proportional to 34,820.40, 52,230.60 and 31,029.60

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Solution

The fourth proportional to 34,820.40, 52,230.60 and 31,029.60 is: 46,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,820.40 : 52,230.60 = 31,029.60 : x
  2. Step 2: Convert to fraction form
    34,820.40/52,230.60 = 31,029.60/x
  3. Step 3: Cross multiply
    34,820.40x = 52,230.60 × 31,029.60
  4. Step 4: Simplify right side
    34,820.40x = 1,620,694,625.76
  5. Step 5: Solve for x
    x = 1,620,694,625.76/34,820.40
  6. Step 6: Final answer
    x = 46,544.40

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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.